Question

the diagram given alongside shows two paths drawn inside a rectangular field 50 metres long and 35 divides the width of each part is 5 metres find the area of the shaded portion ​

Answer 1

Solution:-

Area of the shaded portion :

There are two rectangles and a square in this shaded portion. I have enclosed a diagram so that you can understand easily.

Length and breadth of rectangle ABCD are 50 m and 5 m respectively.

Area of rectangle ABCD = L × B

= 50 × 5

= 250 sq m

Length and breadth of the rectangle EFGH are 35 m and 5 m respectively.

Area of rectangle EFGH = 35 × 5

= 175 sq m

Length of each side of the square IJKL is 5 m.

Area of square = 5 × 5

= 25 sq m

Now, Area of the shaded portion = (Area of rectangle ABCD + Area of rectangle EFGH) - Area of square IJKL

= (250 sq m + 175 sq m) - 25 sq m

= 425 sq m - 25 sq m

= 400 sq m

So, the area of the shaded portion is 400 sq m.