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.
$$\therefore$$ Area of the road = l × b = 700 m × 10 m = 7000$$m^2$$
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 = $$210000 m^2$$
=$$210000 m^2 – 9900 m^2$$ =$$200100 m^2 = 20.01 hactare$$