Split the following shapes into rectangles and find their areas. (The measures are given in centimetres).

Here, the given figures can be further divided into rectangles,

We know that, Area of the rectangle = length × breadth

and the Area of the square = length × length

(a) Here, the area of the rectangle I = 10 cm × 2 cm = 20 sq. cm

 Here, the area of the rectangle II = 10 cm × 2 cm = 20 sq. cm

The total area of the figure is therefore equal to the sum of the area of the two rectangles.

= 20 sq. cm + 20 sq. cm = 40 sq. cm.

(b) Here, the area of the square I = 7 cm × 7 cm = 49 sq. cm

Here, the area of the square II = 7 cm × 7 cm = 49 sq. cm

Here, the area of the square III = 7 cm × 7 cm = 49 sq. cm

Here, the area of the square IV = 7 cm × 7 cm = 49 sq. cm

Here, the area of the square V = 7 cm × 7 cm = 49 sq. cm

The total area of the figure is therefore equal to the sum of the area of the rectangles and two squares.

= 49 sq. cm + 49 sq. cm + 49 sq. cm + 49 sq. cm + 49 sq. cm = 245 sq. cm.

(c) Here, the area of the rectangle I = 5 cm × 1 cm = 5 sq. cm

Here, the area of the rectangle II = 4 cm × 1 cm = 4 sq. cm

The total area of the figure is therefore equal to the sum of the area of the two rectangles.

= 5 sq. cm + 4 sq. cm = 9 sq. cm.