Question 18

Which two figures will have same area?
(A) Circle with diameter of 14 cm.
(B) Rectangle with length 12 cm and breadth 10 cm.
(C) Rectangle with length 14 cm and breadth 11 cm.
(D) Square with side 12 cm.

Choose the correct answer from the options given below. Assume that $$\pi = \frac{22}{7}$$

Solution

Area of circle = $$\pi r^2$$

Area of rectangle = $$L\times B$$

Area of Square = $$S^2$$

(A) Circle with a diameter of 14 cm = $$\pi 7^2$$ = $$49\pi\ $$ = 49*22/7 = 154$$cm^2$$

(B) Rectangle with length 12 cm and breadth 10 cm = 12*10 = 120$$cm^2$$

(C) Rectangle with length 14 cm and breadth 11 cm = 14*11 = 154$$cm^2$$

(D) Square with side 12 cm = 12*12 = 144$$cm^2$$

Thus, A and C have the same area.

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