Question

Calculate the area of the shaded region in each of the figures given below:

Answer 1

(i) Complete the rectangle as shown below:

Area of the shaded region = [Area of rectangle ABCD - Area of rectangle EFGH] sq. units
= [(43 m $\times$ 27 m) - {(43 - 2 $\times$ 1.5) m x (27 - 1 $\times$ 2) m}]
= [(43 m $\times$ 27 m) - {40 m $\times$ 25 m}]
= 1161 m² - 1000 m²
= 161 m²

(ii) Complete the rectangle as shown below:

Area of the shaded region = [Area of square ABCD - {(Area of EFGH) + (Area of IJKL) - (Area of MNOP)}] sq. units
= [(40 $\times$ 40) - {(40 $\times$ 2) + (40 $\times$ 3) - (2 $\times$ 3)}] m²
= [1600 - {(80 + 120 - 6)] m²
= [1600 - 194] m²
= 1406 m²