Each diagonal of a square is 12 cm long. Its area is

(a) 144 cm²
(b) 72 cm²
(c) 36 cm²
(d) none of these

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Solution

(b) 72 cm²

Given:
Diagonal of the square = 12 cm
∴ Area of the square = $\{\frac{1}{2} \times {(Diagonal)}^{2}\}$ sq. units.
= $\{\frac{1}{2} \times {(12)}^{2}\}$ cm²
= 72 cm²

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Question 16

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

(a) $72 c m^{2}$ (b) $36 c m^{2}$ (c) $24 c m^{2}$ (d) $18 c m^{2}$

10

{cm}^{2}

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