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.

Answers (1)



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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