Q. 115.0( 2 Votes )

# Four horses are tethered with ropes measuring 7 m each to the four corners of a rectangular grass land 21 m x 24 m in dimension. Find

(i) the maximum area that can be grazed by the horses

(ii) the area that remains ungrazed.

Answer :

Given:

(i) length of rope = radius of circle.

At one corner area grazed =

At one corner area grazed = 38.5m

the maximum area that can be grazed by the horses = 4 × area at one corner

= 4 × 38.5

= 154m^{2}

(ii) Area that remain ungrazed = total area of rectangle – area grazed by horses

Area that remain ungrazed = (21 m x 24 m) – 154

= 504 – 154

= 350 m^{2}

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