Question 88

The length of the diagonal of a rectangle is 10 cm and that of one side is 8 cm. What is the area of this rectangle?

Solution

Let breadth of rectangle = $$b$$ cm and length, $$l = 8$$ cm

Diagonal of rectangle = $$\sqrt{l^2+b^2}=10$$

=> $$(8)^2+(b)^2=(10)^2$$

=> $$(b)^2 = 100-64=36$$

=> $$b=\sqrt{36}$$ cm

$$\therefore$$ Area of rectangle = $$l \times b$$

= $$8 \times 6 = 48$$ $$cm^2$$

=> Ans - (B)

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