Question

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

Answer 1

Since the path is built inside the square, a length of 1.5 m is reduced twice on each side. So, the inside square has dimensions 10 - 1.5 - 1.5 = 7 m.

So, area of the path = area of the outer square - area of the inner square = ${10}^2$ - $7^2$ = 100 - 49 = 51$m^2$​.​