Question

A horse is tied with a rope that is 7m long to one corner of a rectangular garden measuring 30m by 20m. How much area the horse cannot graze?

Answer 1

Tied Rope = 7 m.

So, horse can graze in the radius of 7 m area.

Area grazed by horse = pi * r *r = (22/7) * 7 *7 = 154 sq. m.

But, only one fourth of the area will fall in field and rest will be out of the field.

So, area grazed in the field = 1/4 * 154 = 38.5 m sq.

Area of the Square = length * length = 10 * 10 = 100 m sq.

Ungrazed area = 100 - 38.5 = 61.5 sq. m.

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Answer 2

Find the area of the rectangular garden i.e 30 * 20 = 600 m^2

Find the area of a circle of the radius 7 m i.e 22/7 * 7 * 7 = 154 m^2

Area can't be grazed by horse will be 600-154= 446 m^2

If we consider that there is grass only in the garden then the area in which the horse cannot graze will be 600- 1/4(154) = 600-38.5 = 561.5 m^2

Thus the horse can't graze on an area of 446 m^2 and by considering grass only in the rectangular garden the required answer will be 561.5 m^2. Let me know if either of them is correct