Question

Split the following shapes into rectangles and find the area of each. (The measures are given in centimetres)

Answer 1

(i) This figure consists of two rectangles I and II.
The area of rectangle I = Length $\times$ Breadth = 10 $\times$2 = 20 cm²
Similarly, area of rectangle II = 10 $\times$$\frac{3}{2}$ = 15 cm²
Thus, total area of this figure = (Area of rectangle I + Area of rectangle II) = 20 + 15= 35 cm²

(ii) This figure consists of two squares I and III and one rectangle II.
Area of square I = Area of square III = Side $\times$ Side = 7 $\times$ 7 = 49 cm²
Similarly, area of rectangle II = (21 $\times$ 7) = 147 cm²
Thus, total area of this figure = (Area of square I + Area of rectangle II + Area of square III) = 49 + 49 + 147 = 245 cm²

(iii) This figure consists of two rectangles I and II.
Area of rectangle I = Length $\times$ Breadth = 5 $\times$ 1 = 5 cm²
Similarly, area of rectangle II = 4 $\times$1 = 4 cm²
Thus, total area of this figure = (Area of rectangle I + Area of rectangle II) = 5 + 4 = 9 cm²