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Question

The length of the diagonal of a square is 102cm. Its area is
(a) 100 cm2
(b) 150 cm2
(c) 200 cm2
(d) 50 cm2

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Solution

(a) 100 cm2

A diagonal of a square forms the hypotenuse of a right-angled triangle with base and height equal to side a.

Diagonal2=a2+a2Diagonal2=2a2a=12Diagonal=12×102=10 cm

∴ Area of the square=a2=10×10=100 cm2

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