Question

A rectangular walkway is 5 times as long as it is wide. The perimeter of the walkway is 360 inches. What is the area, in square inches, of the walkway

Answer 1

Area of a rectangle,
`A=4500\ inch^2`

Step-by-step explanation:

Let, the length of the rectangle is l and width is b. It is given that, a rectangular walkway is 5 times as long as it is wide.

According to question, l = 5b.....(1)

The perimeter of the rectangle is 360 inches. It is given by:

`P=2(l+b)`

`360=2(l+5b)`

b = 30 inches

Length, l = 150 inches (from equation 1)

Area of a rectangle is given by :

`A=l* b`

`A=30* 150`

`A=4500\ inch^2`

Hence, this is the required solution.