Question

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.


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Answer 1

Question

• 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.around it. Find the area of the path. Also find the area of the garden in hectare.

Solution

Area of original garden =90×75=6750 m²

After path is added around rectangle, new length =90+2×5=100 m

New breadth =75+2×5=85 m

Area of rectangle with path =length× breadth

Area of rectangle with path =100×85=8500 m²

So,

Area of path = Area of rectangle with path − Area of rectangle without path

• Area of path =8500−6750

⁣      =1750 m²

We know,

${\boxed{\sf{\red{1 m² =\ 0.0001 \ hectare}}}}$

So,

6750 m² =6750×0.0001

⁣        =0.675 hectare

Hence area of ground =6750 m²

⁣           ⁣         =0.675 hectares

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For More Information

Area of Square= (side)²

Area of circle= πr²

Area of Rhombus =$\bold{ ½ × d_1 × d_2}$