Q.6 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.

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

Width of the road = 10 m

\(\therefore \) Area of the road = l × b = 700 m × 10 m = 7000\( m^2 \)

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 =\( 3000 m^2 \)

Area of the both roads
= \( 7000 m^2 + 3000 m^2 \)– Area of the common portion

=\( 10,000 m^2 – 10 m × 10 m = 10,000 m^2 – 100 m^2 \)

\(= 9900 m^2 = 0.99 hactare \)

Area of the park = l × b = 700 m × 300 m = \(210000 m^2 \)

Area of the park without the roads

=\( 210000 m^2 – 9900 m^2 \) =\( 200100 m^2 = 20.01 hactare \)