Perimeter of a Rectangle Practice

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Question 2
Given a rectangle with the perimeter of 34in. Its length is 12in. Find its width.

Answer

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A. 3in
B. 4in
C. 5in
D. 6in
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Step by Step Solution 

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Step 1
The picture below shows the rectangle with the length of 12in and the width of w.
a rectangle 12in x w

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Step 2
Since the value of the perimeter is given as 34in, we can substitute A with 34. Similarly, since the length is given as 12in, we can substitute l with 12. This is shown below:
substituting P with 34 and l with 12

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Step 3
Now, we have  2(12 +w) = 34. To get a step closer in finding w, we need to remove 2. We can do so, by dividing both sides of the equation with 2.
dividing both sides of the equation with 2
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Step 4
Next, we have  12 +w = 17. Notice that, to find w, we need to remove 12. We can do so, by adding -12 to both sides of the equation. This is shown below:
adding -12 to both sides of the equation
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Step 5
Now, the calculated number 5, has no meaning unless we include the unit for it. Since the length of the rectangle is given in inch, w will also be in inch. Hence:
w = 5 in
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Step 6
Therefore, the answer is C. That is all for this perimeter of a rectangle practice question.

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