The perimeter of a rectangle is 85 ft. The length of the rectangle is two (x plus 16) and the width is 3x - 1. What is the length of the rectangle?

The length of the rectangle is 27 ft.

Step-by-step explanation:

To determine the length of the rectangle, we will first determine the value of x.

From the question,

The length of the rectangle is 2x + 16

The width is 3x - 1

and the perimeter is 85 ft

From the formula for perimeter of a rectangle which is given by

P = 2(l+w)

Where P is the perimeter

l is the length

and w is the width

Then, we can then write that

85 = 2(2x+16 + 3x - 1)

85 = 2(5x + 15)

85 = 10x + 30

10x = 85 - 30

10x = 55

x = 55/10

x = 5.5 ft

Since the length of the rectangle is 2x+16, substitute the value of x

Therefore

l = 2x + 16

l = 2(5.5) + 16

l = 11 + 16

l = 27 ft

Hence, the length of the rectangle is 27 ft.

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step-by-step explanation:

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