Question

The length of a rectangular field is thrice of its width. If the perimeter of this field is 1.6km, find its area in sq.m.

Answer 1

Let the breadth of the rectangle = x m length and of the rectangle = 3x m
The perimeter of a rectangle with length I and breadth b = P = 2(l + b)
∴ The perimeter of a rectangle with length 3x and breadth x = P = 2(3x + x)
= 2(4x) = 8x
⇒ 8x = 1.6km
= 1.6 x 1000m
= 1600m

⇒ x = `(1600)/(8)`
= 200m
⇒ the breadth of the rectangle = 200m length

and of the rectangle = 3(200) = 600m
The area of a rectangle with length l and breadth b = A = l x b
The area of a rectangle with length 600 and breadth 200 = A = 600 x 200 = 120000m².