Verified answer

We have to find the area of shaded region therefore ,

Firstly we will calculate area of each small square ,

Area of square = ( side )²

Given , side of a square = 1 m

Area of square = ( 1 )²

Area of square = 1 m²

There are 6 such squares , therefore

Area of 6 squares = ( 6 × 1 ) m²

Area of 6 squares = 6 m²

now , there are two small rectangles,therefore

Area of rectangle = Length × Breath

Given, length = 40 m

Breadth = 1 m

Area of rectangle =( 40 × 1 ) m²

Area of rectangle = 40 m²

There are two such rectangles ,So

[tex] \sf{}(2 \times 40) {m}^{2} \\ \\ \sf{} 80 {m}^{2} [/tex]

Now , total shaded area = area of 2 rectangles + area of 6 squares

[tex] = (80 + 6) {m}^{2} \\ \\ = 86 {m}^{2} [/tex]

Therefore , total shaded are is equals to 86 m²