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.]

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