The length of a rectangle is 3 times the width

Asked by admin @ 09/10/2021 in Advanced Placement (AP) viewed by 344 People

the length of a rectangle is 3 times the width. the perimeter of the rectangle is 72 feet. find the dimensions of the rectangle.

Answered by admin @ 09/10/2021

The formula for calculating the perimeter of a rectangle is to add all the sides up.

i.e. P = x + x + y + y

where P = perimeter

x = width

y = length

so to find the dimensions for this rectangle, let the width of the rectangle be x and the length be 3x (since its 3 times the width of the rectangle).

Perimeter = x + x + 3x + 3x

putting the value of perimeter and adding up the sides:

72 = 8x

72/8 = x

x = 9

Now, we have found the width (x) to be 9 so we can find the length too.

length was supposed as 3x

3(x) = 3(9) = 27

so width = 9

and length = 27

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