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.


Answer :


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

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