Question

A path of 1.5 m wide is built along the border inside a square garden of side 10 m. Area of the path is ___ $m^2$.

• A. 51
• B. 49
• C. 100
• D. 64

Answer 1

The correct option is A 51

Since the path is built inside the square, a length of 1.5 m is reduced twice from each side.

$\therefore$The inside square has a length of 10 - 1.5 - 1.5 = 7 m.
The area of a square of side length 'a' units is $a^2$

Area of the square ABCD = $A{B}^2$ $={10}^2$ $=100m^2$

Area of the square PQRS = $P{Q}^2$ $=7^2$ $=49m^2$

$\therefore$ Area of the path = Area of square ABCD - Area of the square PQRS

$=100-49=51m^2$