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.
Given:
(i) length of rope = radius of circle.
At one corner area grazed = ![]()
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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
= 154m2
(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 m2
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