# Find the dimensions of a rectangle

by a visitor

##### Question
The area of a rectangle is 45 square cm. If the length is 4 cm greater than the width, what is the dimensions of the rectangle?
The picture below shows the rectangle with the area of 45cm2. Now, let the width be w. Since, the length is 4cm greater than the width, the length will be w+4 cm.

Before we can find the dimensions of the rectangle, we need find w first. Here's how:

1) Write an equation that relates 45cm2, w+4 and w.
To do so, we know that the area of the rectangle, 45cm2 can be found by multiplying w with  w+4. Hence, we have:

To continue, we need to remove the bracket and simplify the equation. This is shown below:

Notice that, now we have a quadratic equation:

To find w, we need to solve the quadratic equation. One way to do so is to factorize the quadratic equation. Hence, we have:

Now, since w is the width of a rectangle. There is no way it can be a negative number. Therefore, w must be 5.
With w = 5. The...

...and the...
Below is the rectangle with its dimensions:

### Comments for Find the dimensions of a rectangle

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 Nov 05, 2021 Rating Quadratic functions NEW by: Anonymous The length of a rectangular lot is 6 more than thrice its width. Its area is 240m ^ 2 . Find the dimension of the rectangular lot.

 Sep 20, 2021 Rating Dimensions of a rectangle NEW by: Anonymous If the length of a rectangle is increased by 3m and the width by 1m and the new perimeter is 18 show that x+y=5

 Jun 10, 2021 Rating Dimensions of the rectangle NEW by: Anonymous What are the dimensions of the rectangle with area of 48 square meter?

 Jun 02, 2021 Rating rectangle NEW by: Anonymous A rectangle's dimensions are given as (x+5) and (x+3). If the area of the rectangle is 99 square meters, determine the actual dimensions of the rectangle.

 May 19, 2021 Rating Please Help me now its urgent! NEW by: Anonymous The width of a rectangle is 12 feet shorter than its length. The area of the rectangle is 48 square feet. Find the length and width. Round your answer to the nearest tenth of a foot.

 Apr 21, 2021 Rating question NEW by: Anonymous Separate the number 18 into two parts where the product of the parts is 77.

 Apr 21, 2021 Rating question NEW by: Anonymous Separate the number 18 into two parts where the product of the parts is 77.

 Mar 09, 2021 Rating Math NEW by: Anonymous 6. A rectangular parcel of land has an average of 5,000ftΒ² A diagonal between opposite corners is measured to be 20 ft longer than on side of the parcel . What are the dimensions of the land? A 60 x 83 ft B. 81 x 82 ft C 62 x 82 D 64 x 82

 Jan 27, 2021 Rating did not help NEW by: Anonymous not useful

 Jan 06, 2021 Rating finding the length and width of a perimeter using the provided ratio NEW by: Anonymous could you explain a method of finding the correct solution using the provided ratio to solving the length and width of the perimeter?

 Dec 17, 2020 Rating Find perimeter given area as quadric equation by: Anonymous The area of a rectangle is given by the expression of 6x^2+7x-20. Please find TWO possible perimeter expressions of the rectangle. Many thanks

 Dec 16, 2020 Rating What is the dimensions of the rectangle NEW by: Anonymous A rectangle has a perimeter of 86 meters. If the length is 5 meters greater than the width. What are the dimensions of the rectangle?

 Dec 11, 2020 Rating The diagonal of a rectangle is 4 m longer than its shorter side. If the area of the rectangle is 48 square meters, what is the measure of its width? * 1 point NEW by: Anonymous The diagonal of a rectangle is 4 m longer than its shorter side. If the area of the rectangle is 48 square meters, what is the measure of its width? *

 Dec 04, 2020 Rating Polynomial Equation NEW by: Anonymous The diagonal of a rectangle is 2 meter longer than its longer side. Its shorter side is 4 less than its diagonal. If the area of the rectangle is 100 square meter, find the measure of its length, width, and diagonal

 Nov 26, 2020 Rating Division of Polynomials by: Anonymous The volume of a rectangular box is given to be 2π₯ 3 β 2π₯ 2 β 44π₯ + 80. If the length of the box is given to be x+5, what are the dimensions of the rectangular base of the milk box? Show the complete solution. A. (2π₯ β 3)(π₯ β 3) B. (2π₯ β 8)(π₯ β 2) C. (2π₯ + 8)(π₯ + 2) D. (π₯ β 8)(π₯ β 2)

 Nov 18, 2020 Rating Word problem NEW by: Anonymous A rectangle is 40 meters longer than its width. if its length were increased by 10 meters and its width were diminished by 5 meters, its area would be increased by 190 square meters. find its dimensions. Help me with this, please.

 Nov 17, 2020 Rating The length of a rectangular table is 2 m longer than its width. The area of the table is 24 square meters. What equation represents the area of the rectangular table? NEW by: Anonymous The length of a rectangular table is 2 m longer than its width. The area of the table is 24 square meters. What equation represents the area of the rectangular table?

 Nov 15, 2020 Rating Thanks NEW by: Anonymous Thanks for your answer and solution but what sign I will put? is it A. W IS LESS THAN OR EQUAL TO 5; OR L IS LESS THAN OR EQUAL TO 9 B. W IS GREATER THAN OR EQUAL TO 5; L IS GREATER THAN OR EQUAL TO 9 C. W>5;L>9 D. W<5;L<9 I need the answer asap but its okay if you don't know/youll not reply:)) thanks again

 Nov 13, 2020 Rating Need help :D by: Anonymous Peter was asked by his Filipino teacher to lay out a tarpaulin to be used as draft decoration during the Culmination Program of Buwan ng Wika. He told Peter that the tarpaulin's area must be 18 square feet, and that the length is 5m longer than its width. What must be the dimensions of his tarpaulin?

 Nov 12, 2020 Rating NEED HELP ASAP PLEASE NEW by: Anonymous The diagonal of a rectangle is 2 meter longer than its longer side. Its shorter side is 4 less than its diagonal. If the area of the rectangle is 100 square meter, find the measure of its length, width, and diagonal

 Nov 11, 2020 Rating NEED HELP ASAP NEW by: Anonymous A rectangle has a length of (2x + 4) centimeters and a width of Β½ x centimeters. If the perimeter is 38 centimeters, what is the length of the rectangle?

 Nov 11, 2020 Rating NEED HELP ASAP NEW by: Anonymous A rectangle has a length of (2x + 4) centimeters and a width of Β½ x centimeters. If the perimeter is 38 centimeters, what is the length of the rectangle?

 Oct 20, 2020 Rating RECTANGULAR FRAME NEW by: Anonymous A rectangular frame has an area of 14 square inches and a perimeter of 18 inches. Find the dimensions of the rectangular frame.

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 Sep 28, 2020 Rating Question NEW by: Anonymous Find solutions A rectangular garden whose length is 7 feet longer than its width has an area of 60 square feet.Find the dimensions of the garden

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 Sep 22, 2020 Rating help NEW by: Ammu The length of a table is 5 ft more than its width. If each dimension is increased by 3 ft, the area is increased by 72 ft. Find the dimensions of the table.

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 Nov 01, 2017 Rating Help by: Anonymous I have figured this out probably by chance. I have to show work and am having a hard time putting it together. I have a rectangle with area of 209ft2 divided into a square and a rectangle. The rectangle part is 8 ft wide. I found that the square is 11x11 and rectangle would be 11x8 I have no idea please help. shagnola@hotmail.com

 Aug 22, 2017 Rating find area from perimeter+diagonal? by: S Can someone tell me how to find the area of a rectangle, given its perimeter (70) and the length of its diagonal (25) ? Thank you!

 Aug 20, 2017 Rating Dimension and area by: Giratina Is dimension smillar to area because the area and dimension are both 45?

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 May 25, 2017 Rating ughh by: Aggravated TestTaker What is the problem dosent give you an area...this is the problem: The floor of a rectangular cage has a length 4 feet greater than its width, w. James will increase both dimensions of the floor by 2 feet. Which equation represents the new area, N, of the floor of the cage? The answer turned out to be: N = w2 + 8w + 12 I mostly want to know where the twelve came from. Email me @ nadiaelizabeth2002@gmail.com if you're willing to help me.

 May 14, 2017 Rating Awesome explanation! by: Anonymous Thank you so much for making this! Really helped me with my Algebra 1 homework!

 Apr 26, 2017 Rating Rectangular Dimensions by: Anonymous The lenghth of a rectangle is 4 ft greater than the width. If each dimension is increased by 3, the new area will be 33 square feet larger. Find the dimensions of the original rectangle

 Apr 23, 2017 Rating help by: Anonymous A garden took up 432 square feet in my yard, but i would like to reduce the length and width by a scale factor of 1/6 so that i can put in a Jacuzzi in also. Give the possible dimensions of the new garden

 Mar 13, 2017 Rating Responce by: Anonymous A rectangular surface has an area of 342m2. The city wants to put a fence around it. What are the dimensions of the skating area that will use the least amount of fencing?

 Mar 08, 2017 Rating Area is 500 Perimeter is 120 Response by: Anonymous The dimensions would be 50 by 10, 50 being the length or width and 10 being length or width or vice versa. 50 * 10 = 500 and 50 + 50 + 10 + 10 = 120.

 Feb 09, 2017 Rating problem by: Anonymous The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 65 ft2 . Find the dimensions of the rectangle.

 Aug 21, 2016 Rating help by: Anonymous An open rectangular box is to be formed by cutting identical square, each side 2 in, one from each corner of a rectangular piece of cardboard, and then turning up the ends. If the area of the piece of card board is 160 in^2 and the box is to have 144 in^2, what should have been the dimensions of the cardboard used?

 Jun 17, 2016 Rating a real Step in quadratic equation by: Anonymous 34 Mrs.Jacinto asked a carpenter to construct a rectangular bulletin boeard for her classroom.She told the carpenter that the board's areabl must be 18 sq.feet what's the dimension?at least give two

 Jun 11, 2016 Rating Dimensions by: Hrishika If area is 500 n perimeter is 120 so what's dimension

 Apr 23, 2016 Rating Help please?? by: Anonymous Can anyone help me with this question....a rectangular piece of sheet metal is 2 inches longer than it is wide. a square piece 3 inches on a side is cut from each corner. the sides are then turned up to form a uncovered box of volume 765 cubic inches. find the dimensions of the original Metal?

 Mar 09, 2016 Rating by: romejeane a rectangle has a perimeter of 24 cm. If the length of the rectangle is 3 cm more than twice the width , What are the dimensions of the rectangle

 Mar 03, 2016 Rating Not for use by: sunaina It need to be updating still lots for question ar there on this basis

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 Feb 25, 2016 Rating fundamentals by: Anonymous kindly answer this math problem: A rectangle has a perimeter of 30m, the length exceeds the width by 5m. Find the dimensoins of the rectangle.

 Nov 27, 2015 Rating need help by: Anonymous The preimenter of a rectangle is 12 . the length is 2 more then the width . find both dimension.

 Nov 04, 2015 Rating Need a bit more specific by: Supercalifragilisticexpidalidoyshous My problem is: if there are 45 total tiles what are the dimensions?

 Aug 25, 2015 Rating solving for dimension of a rectangle by: Anonymous please help me to solve this.f the length and width of a rectangle are whole numbers,find the dimensions of all rectangles whose area is equal to twice its perimwter. thanks.

 Jul 27, 2015 Rating Square Dimensions. by: Anonymous Please help me answer!! . The total area of two square fields is 18000 ft2. Each side of the larger fields is 60 ft longer than a side of the smaller field. Find the dimensions of the two fields.

 Jul 23, 2015 Rating Help by: Anonymous The width of a rectangle is 1m less than twice the length. If the area of the rectangle is 100 metre squared what are the dimensions of the rectangle

 Jul 23, 2015 Rating Help by: Anonymous The width of a rectangle is 1m less than twice the length. If the area of the rectangle is 100 metre squared what are the dimensions of the rectangle

 Jun 03, 2015 Rating niiice! by: Anonymous niiiiiice!

 Jun 01, 2015 Rating Reply to comment from May 31, 2015 by: Visual Math The perimeter of a rectangle is its two times its length and width combined, expressed in this way: P = 2 x (l + w) Now then, given that the length is three cm more than twice the width, we can express the length in terms of the width in this way: l = 2w + 3 Thus, if we replace all the variables with the information we have, we can find out its dimensions: P = 2 x (l + w) 84 = 2 x ((2w + 3) + w) 84 = 2 x (3w + 3) 84 = 6w + 6 6w = 84 - 6 6w = 78 w = 78/6 w = 13cm Given that w is 13cm, we can then use it to find l: l = 2w + 3 l = 2(13) + 3 l = 26 + 3 l = 29cm

 May 31, 2015 Rating Help please by: Anonymous The length of a rectangle is three cm more than twice the width. If the perimeter is 84 cm what are the dimensions

 Aug 04, 2014 Rating Help pls by: Joshua What if we dont have the 45, what if the equation is k(k+5)=d

 Jul 24, 2014 Rating wrong methods by: ram It is not helpful for all type calculation

 Jul 02, 2014 Rating Meh by: Anonymous Alright, but what about (x-3)(x+2)=18cm(squared) and (x+3)(x-2)=18cm(squared)

 Feb 19, 2014 Rating help please to solve by: Anonymous area equals 84 the length is 5 more than the width find the dimensions of the rectangle

 May 13, 2011 Rating awesome by: Anonymous it helped me in passing to the higher level in high school.

 Aug 19, 2010 Rating :D by: syntax_error it helped me do my homework but I encountered some uncertainty towards the end of the process... kindly...this is the problem.. "the length of the rectangular lot is 2 meters more than its width. Find its dimension if the area is 195 meters square each dimension it made is 1m longer." thanks!

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