Question

The diagram, given below, shows two paths drawn inside a rectangular field 80 m long and 45 m wide. The widths of the two paths are 8 m and 15 m as shown. Find the area of the shaded portion

Answer 1

The width of rectangle parallel to length of larger one is $15m$

The length is $45m$

Area of rectangle is $45\times 15=675m^2$

The width of rectangle parallel to Breadth of larger one is $8m$

The length is $80m$

Area of rectangle is $80\times 8=640m^2$

The length of common rectangle is $15$

The breadth of common rectangle is $8m$

Area of rectangle is $15\times 8=120m^2$

The area of shaded region is given as $675+640-120=1195m^2$