Question

PERIMETER AND AREA
2
Two cross roads, each of width 10 m, cut at 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 1

Explanation: Length of the road parallel to the length of the park = 700 m

Width of the road = 10 m

∴ Area of 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

hope it helped.