Question

The length of the rectangular garden is 70m and it's breadth is 30m. There is a 3m broad road around this garden. Then what is the area of the this road?

Answer 1

Hello friend
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Suppose ABCD is a rectangular garden.

There is a 3m broad road all around it.

Take another figure and name PQRS made by garden and the road together is also a rectangle.

Length of rectangle ABCD = 70m

Breadth of ABCD = 30m.

: Area of rectangle ABCD= length x breath

= 70 x 30

= 2100 sq.m

Now there is a 3m broad road on each side of the rectangular garden.

hence,

The length of rectangle PQRS= 70+3+3

= 76 m

Breadth of rectangle PQRS = 30+3+3

= 36 m.

The Area of rectangle PQRS = length x breath.

= 76 x 36

= 2736 sq.m

Now,

Area of the road = Area of rectangle PQRS - Area of rectangle ABCD

= 2736 - 2100

= 636 sq.m

Therefore, the Area of the road = 636 sq.m

I hope this helps you.

Thanks.