The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 ft, find its area.

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MrRoyal MrRoyal · Answer 1 · 2022-06-27T18:21:07+02:00

The area of the rectangle is 216 square feet

Let x represents the length and y represents the width.

So, we have:

x = 6y

So, the perimeter is:

P = 2(x + y)

The perimeter is given as:

P = 84

So, we have:

2(x + y) = 84

Divide by 2

x + y = 42

Substitute x = 6y in x + y = 42

6y + y = 42

Evaluate the sum

7y = 42

Divide by 7

y = 6

Substitute y = 6 in x = 6y

x = 6 * 6

x = 36

The area is calculated as:

Area = xy

So, we have:

Area = 36 * 6

Evaluate

Area = 216

Hence, the area of the rectangle is 216 square feet