Question

The following figures have been split into rectangles. Find their areas. (The measures are given in centimetres)

Answer 1

(i) This figure consists of two rectangles II and IV and two squares I and III.
Area of square I = Side × Side = 3 × 3 = 9 cm²
Similarly, area of rectangle II = (2 × 1) = 2 cm²
area of square III = (3× 3) = 9 cm²
area of rectangle IV = (2 × 4) = 8 cm²
Thus, the total area of this figure = (Area of square I + Area of rectangle II + Area of square III + Area of rectangle IV) = 9 + 2 + 9 + 8 = 28 cm²


(ii) This figure consists of three rectangles I, II and III.
Area of rectangle I = Length × Breadth = 3 × 1 = 3 cm²
Similarly, area of rectangle II = (3 × 1) = 3 cm²
area of rectangle III = (3 × 1) = 3 cm²
Thus, the total area of this figure = (Area of rectangle I + area of rectangle II + area of rectangle III) = 3 + 3 + 3 = 9 cm²