Q. 1.     A garden is 90\; m long and 75\; m broad. A path 5\; m  wide is to be built outside and around it. Find the area of the path. Also find the area of the garden  in hectare.

Answers (1)

It is given that the garden is 90\; m long and 75\; m broad

It is clear that it is rectangular shaped with lenght = 90 \ m \ and \ breath = 75 \ m

We know that the area of the rectangle is = lenght \times breath

\Rightarrow lenght \times breath = 90 \times 75 = 6750 \ m^2 = 0.675 \ ha                   -(i)

Now, length and breadth of the outer rectangle is



Area of the outer rectangle is 

\Rightarrow lenght \times breath = 100 \times 85 = 8500 \ m^2                              -(ii)

Area of the path is (ii) - (i)

\Rightarrow 8500 - 6750 = 1750 \ m^2

Therefore, the area of the path is 1750 \ m^2
 

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