Question

A garden 150 m long and 80 m wide has a road 4 m wide all around on the outside find the cost of paving the road at the rate of rs 120 per square metre

Answer 1

Perimeter of garden = 2(l+b)
= 2(150+80)
= 460 m
Total area of road = 4(460)
= 1840 sq.m
Cost for paving the road = 120× 1840
= RS 220800

Answer 2

The cost of paving the road is Rs.38080.

Step-by-step explanation:

Given : A garden 150 m long and 80 m wide has a road 4 m wide all around on the outside.

To find : The cost of paving the road at the rate of Rs.120 per square meter?

Solution :

Length of the inner rectangle L= 150 m 

Breadth of the inner rectangle B= 80 m

Since the road which is of uniform width of the outside path is 4 meter,

So, the length of the outer rectangle = 150+4+4= 158 m 

and the breadth of the inner rectangle = 80+4+4= 88 m

The area of the inner rectangle is

$A_i= 150\times 80\\A_i= 12000\ m^2$

The area of the outer rectangle is

$A_o= 158\times 88\\A_o= 13904\ m^2$

Area of the road = Area of Outer rectangle - Area of inner rectangle

i.e. $A= 13904 - 12000$

$A= 1904 m^2$

Cost of paving the road = Rs 120 per m²

The total cost of paving the road is given by

$C= 1904\times 120$

$C= Rs.38080$

Therefore, the cost of paving the road is Rs.38080.

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A garden 150 m long and 80 m wide has a road of 4 m wide all around on the outside find the coast of paving the road at the rate of 120 rs per square meter

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