The length of a rectangle is five inches more than four times it’s width if the perimeter of the rectangle is 90 inches , find it’s dimensions

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 90 inches

The statement

The length of a rectangle is five inches more than four times it’s width is written as

l = 5 + 4w

Substitute this expression into the above formula and solve for the width

That's

90 = 2(5 + 4w) + 2w

90 = 10 + 8w + 2w

10w = 90 - 10

10w = 80

Divide both sides by 10

w = 8

Substitute this value into l = 5 + 4w

That's

l = 5 + 4(8)

l = 5 + 32

l = 37

Therefore we have

Hope this helps you

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