Question

The perimeter of a rectangular field is 82 m and its area is 400 m². Find the breadth of the rectangle.

Answer 1

Let the breadth of the rectangle be x meters. Then

Perimeter = 82 meters

2(length + breadth) = 82

(length + x) = 41

length = 41 − x

And area of the rectangle

length x bradth = 400

(41 − x) x = 400

41x − x² = 400

x² − 41x + 400 = 0

x² − 25x − 16x + 400 = 0

x(x − 25) −16(x − 25) = 0

(x − 25) (x − 16) = 0

or

x − 16 = 0

x = 16

Since perimeter is 82 meter. So breadth can’t be 25 meter.

Hence, breadth 16 meters.