Perimeter of a Triangle Practice

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Question 2
Given the perimeter of a triangle is 18ft. Its side lengths are 5ft, 7ft and x ft. Find x. 

Answer

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A. 5ft
B. 6ft
C. 7ft
D. 8ft
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Step by Step Solution 

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Step 1
The picture below shows the triangle:
a triangle with side lengths of 5ft, 7ft and x ft

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Step 2
We start with the formula for the perimeter of a triangle, P,
as shown below:
formula for the perimeter of a triangle

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Step 3
Since the values of the perimeter and the side lengths are given, we can substitute these values into the formula as shown:
calculating the perimeter of a triangle
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Step 4
To find x, we need to remove 12. To do so, we add -12 to both sides of the equation:
x is calculated as 6
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Step 5
Now, we have x = 6. Remember that, it is important to include the unit. Hence:
x = 6ft
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Step 6
Therefore, the answer is B.

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