• # question_answer 28) By splitting the following figures into rectangles, find their areas (the measures are given in centimeters).

(a) Let the given figure be divided into rectangles A, B, C and D and their length and breadth be written on the figure. For rectangle A, Length = 4 cm and breadth = 2 cm Now, area of the rectangle A = Length $\times$ Breadth $=4cm\times 2cm=8sqcm$ For rectangle B, Length = 3 cm and breadth = 3 cm Area of the rectangle B = Length $\times$ Breadth $=3cm\times 3cm=9sqcm$ For rectangle C, Length = 2 cm and breadth = 1 cm Area of the rectangle C= Length $\times$ Breadth = 2 cm $\times$ 1 cm = 2 sq cm For rectangle D, Length = 3 cm and Breadth = 3 cm $\therefore$Area of the rectangle D = Length $\times$ Breadth $=3sqcm\times 3sqcm=9sqcm$ Now, total area of the given figure = Area of the rectangle A + Area of the rectangle B + Area of the rectangle C + Area of the rectangle D = (8 + 9 + 2 + 9) sq cm = 28 sq cm Hence, the required area is 28 sq cm. (b) Let the given figure is divided into rectangles A, B and C and their length and breadth are written on the figure. For rectangle A, Length = 2 cm and breadth = 1 cm $\therefore$Area of the rectangle A = Length $\times$ Breadth $=2\times 1=2sqcm$ For rectangle B, Length = 5 cm and breadth = 1 cm $\therefore$Area of the rectangle B = Length $\times$ Breadth $=5\times 1=5sq\,cm$ For rectangle C, Length = 2 cm and breadth = 1 cm Area of the rectangle C = Length $\times$ Breadth $=2\times 1=2sqcm$ Now, total area of the given figure = Area of rectangle A + Area of rectangle B + Area of rectangle C = (2 + 5 + 2) sq cm = 9 sq cm Hence, the area of the given figure is 9 sq cm.