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  • 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.

Q. 6.     Two cross roads, each of width 10m, 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.

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It is given that width of each road is 10m and the length of rectangular park is 700\; m and breadth is 300\; m

Now, We know that area of rectangle is = length \times breadth

Area of total park is 

\Rightarrow 700 \times 300 = 210000 \ m^2                   -(i)

Area of road parallell to width of the park ( ABCD ) is

\Rightarrow 300 \times 10 = 3000 \ m^2                           -(ii)

Area of road parallel to length of park ( PQRS )  is

\Rightarrow 700 \times 10 = 7000 \ m^2                          -(iii)

The common area of both the roads ( KMLN ) is 

\Rightarrow 10 \times 10 = 100 \ m^2                               -(iv)

Area of roads = [(ii)+(iii)-(iv)]

\Rightarrow 7000+3000-100=9900 \ m^2 = 0.99 \ ha                -(v)

Now, Area of the park excluding crossroads is = [(i)-(v)]

\Rightarrow 210000-9900 = 200100 \ m^2 = 20.01 \ ha

 

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Riya

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