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Question -

Two cross roads, each of width 10 m, cut a right angles through the centre of a rectangular park of length 700 m and breadth 300 m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.



Answer -


Length of the road parallel to the length of the park = 700 m
Width of the road = 10 m
∴ Areaof the road = l × b = 700 m × 10 m = 7000 m2
Length of the road parallel to the breadth of the park = 300 m
Width of the road = 10 m Area of this road = l × b = 300 m × 10 = 3000 m2
Area of the both roads
= 7000 m2 + 3000 m2 – Area of the common portion
= 10,000 m2 – 10 m × 10 m
= 10,000 m2 – 100 m2
= 9900 m2 = 0.99 ha
Area of the park = l × b
= 700 m × 300 m = 210000 m2
Area of the park excluding the roads
= 210000 m2 – 9900 m2
= 200100 m2 = 20.01 ha

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