Question

A rectangle hasan area of 100 square yards and a perimeter of 58 yds. What is the length of the longer side of the rectangle?

Answer 1

The longer side of the rectangle is 25 yards.

Explanation:

The area of a rectangle, A = 100 square yards

The perimeter of a rectangle, P = 58 yards

We formula for area and perimeter of a rectangle is given by :

A = lb

and

P = 2(l+b)

ATQ,

lb = 100 ...(1)

2(l+b) = 58

(l+b) = 29 ....(2)

We need to solve equation (1) and (2).

l = 4, b = 25

So, the longer side of the rectangle is 25 yards.