Question : What is the area of a square whose diagonal is $5 \sqrt{2}$ cm?
Option 1: 64 cm2
Option 2: 25 cm2
Option 3: 100 cm2
Option 4: 36 cm2
Correct Answer: 25 cm 2
Solution :
Diagonal of a square, $D$ = $5 \sqrt{2}$ cm
Area of a square = $\frac{1}{2}D^2$
= $\frac{1}{2}(5 \sqrt{2})^2$
= $\frac{50}{2}$
= 25 cm
2
Hence, the correct answer is 25 cm
2
.
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