Question

Given the rectangle below, write a simplified expression that represents the perimeter and terms of x. Use your expression to solve for x, given that the perimeter is 62.
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Answer 1

The value of x in the rectangle is 6

How to determine the value of x?

The given parameters are

Perimeter = 62

From the figure, we have

Length = 2x

Width = x + 13

The perimeter is calculated as:

P =2 * (L + W)

This gives

2 * (2x + x + 13) = 62

So, we have

2 * (3x + 13) = 62

Divide by 2

3x + 13 = 31

Subtract by 13

3x = 18

Divide by 3

x = 6

Hence, the value of x in the rectangle is 6

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