Two cross roads, each of the width 10 m, cut at right angles through the centre of a rectangular park of the length 700 m and the 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.
It is given in the question that,
Length of park = 700 m
Breadth of park = 300 m
We know that,
Area of rectangle = Length × Breadth
∴ Area of park = 700 × 300
= 210000 m2
Also, we have
Length of road PQRS = 700 m
Length of road ABCD = 300 m
Width of each road = 10 m
∴ Area of the roads = Area of (PQRS) + Area of (ABCD) – Area of (KLMN)
= (700 × 10) + (300 × 10) – (10 × 10)
= 7000 + 3000 – 100
= 10000 – 100
= 9900 m2
= 0.99 hectare
Area of park excluding roads = 210000 – 9900
= 200100 m2
= 20.01 hectare