Question

A 2 metre wide path is present to the inner side of a square ground of side 60 metre. Find out :

(1) Area of path

(2) Expenditure on cementing the path at the rate of ₹270 per square metre.

Answer 1

Side of square shape field = 60 m

Area of PQRS = (side)²

= 60² = 60 x 60 = 3600 sq. m

Inside the field 2 m wide path is available.
Therefore a square shape field will be inside the field, side of square ABCD = (60 – 2 – 2) = 60 – 4 = 56 m

Area of ABCD = 56²

= 56 x 56 = 3136 sq. m

(1) Area of path

= Area of PQRS – area of ABCD

= 3600-3136 = 464 sq.m

(2) Expenditure on 1 square meter cementing

= ₹270

Expenditure of cementing on 464 sq. m

= 464 x 270

= ₹1,25,280