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

(i) Splitting the L-shape into two rectangles:

Rectangle 1 (vertical part): length = 12 cm, breadth = 2 cm

Area of Rectangle 1 = 12 × 2 = 24 sq. cm

Rectangle 2 (horizontal part at the bottom): length = 8 cm, breadth = 2 cm

Area of Rectangle 2 = 8 × 2 = 16 sq. cm

Total area = Area of Rectangle 1 + Area of Rectangle 2

= 24 + 16

= 40 sq. cm

Hence, the area of figure (i) = 40 sq. cm.

(ii) Splitting the plus-shaped figure into three rectangles:

Central horizontal rectangle: length = 7 + 7 + 7 = 21 cm, breadth = 7 cm

Area = 21 × 7 = 147 sq. cm

Top square : side = 7 cm

Area = 7 × 7 = 49 sq. cm

Bottom square : side = 7 cm

Area = 7 × 7 = 49 sq. cm

Total area = 147 + 49 + 49

= 245 sq. cm.

Hence, the area of figure (ii) is 245 sq. cm.

(iii) Splitting the T-shape into two rectangles:

Top bar of T: length = 5 cm, breadth = 1 cm

Area of top bar = 5 × 1 = 5 sq. cm

Stem of T (vertical part): length = 4 cm, breadth = 1 cm

Area of stem = 4 × 1 = 4 sq. cm

Total area = 5 + 4

= 9 sq. cm.

Hence, the area of figure (iii) is 9 sq. cm.