Find the area of a square
Find the area of a square whose diagonal is of 14 cm length.
उस वर्ग का क्षेत्रफल ज्ञात कीजिए जिसके विकर्ण की लंबाई 14 cm है।
Detailed Solution & Logic
Correct Answer:
98 cm\(^2\)
Diagonal of square = d = 14 cm
Relation between side and diagonal: d = $ a\sqrt{2} $
$ a = \frac{d}{\sqrt{2}} = \frac{14}{\sqrt{2}} = 7\sqrt{2} $
Area of square = $ a^2 $
$ = (7\sqrt{2})^2 $
= 98
${98 \text{ cm}^2} $
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