Question

A horse is tethered to one corner of a rectangular field of dimensions 70 m × 52 m, by a rope of length 21 m. How much area of the field can it graze?

Answer 1

Given, Length of the rectangle, l = 70 m

Breadth of the rectangle, b = 52 m

Length of the rope = 21 m

Shaded portion AEFA indicates the area in which the horse can graze. Clearly it is the area of a quadrant of a circle of radius, r = 21 m.

Area of quadrant, AEFA = `1/4 πr^2` sq. units

= `1/4 xx 22/7 xx (21)^2`

= `1/4 xx 22/7 xx 21 xx 21`

= 346.5 m²

Hence, the graze area is 346.5 m².