Question

A rectangular grassy plot is 112 m long and 78 m broad. It has gravel path 2.5 m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs. 4.50 per square metre.

Answer 1

We know that,

Inner area of rectangle = length × breadth

Inner area of rectangle = 112 × 78 = 8736 m²

Width of path = 2.5 m

Length of outer rectangle = 112 – (2.5 + 2.5) = 107 m

Breadth of outer rectangle = 78 – (2.5 + 2.5) = 73 m

And,

Outer area of rectangle = length × breadth

Outer area of rectangle = 107 × 73 = 7811 m²

Now let’s calculate Area of path,

Area of path = Outer area of rectangle – Inner area of rectangle

Area of path = 8736 – 7811 = 925 m²

Also given that,

Cost of construction for 1 m² = Rs 4.50

∴ Cost of construction for 925 m² = 925 × 4.50 = Rs 4162.5