the diagram shows two paths drawn inside a rectangular feild 50 m long and 35 m wide . The width of each path is 5 meters. Find the area of shaded portion
Area of shaded portion = Area of rectangle EFGH + Area of rectangle IJKL – area of square MNOP
= EF × FG + IJ × IL – (MN)2
= 50 m × 5 m + 35 m × 5 m – (5)2 m2
= 250 m2 + 175 m2 – 25 m2
= 400 m2
[Note: Since, the area of square MNOP is added twice that Is why we have subtracted it once.]