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

Answer:

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

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 :

$A=l\times b$

$A=30\times 150$

$A=4500\ inch^2$

Hence, this is the required solution.