Question

10. A horse is tethered to one corne
of a rectangular field, 60 m by 40 m
by rope 28m long. On how much
area can the horse graze?​

Answer 1

Answer:

Length of the rectangle, l =70 m

Breadth of the rectangle, b =52 m

Length of the rope =28 m

Shaded portion AEF indicates the area in which the horse can graze. Clearly, it is the area of a quadrant of a circle of radius, r =28 m

Area of the quadrant AEF =

4

1

×πr

2

sq. units

=

4

1

×

7

22

×28×28=616m

2

∴ Grazing Area = 616 m

2

Area left ungrazed = Area of the rectangle ABCD - Area of the quadrant AEF

Area of the rectangle ABCD = l×b sq. units

=70×52=3640m

2

∴ Area left ungrazed =3640−616=3024 m

2