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Question

The perimeter of a square is 28 cm. Find the length of its diagonal.

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Solution

Perimeter of square = 4×side
28 = 4×side
side = 28/4 = 7
Area of square = side × side = 7×7 = 49


Area of square = 1/2×(diagonal)²
49 = 1/2×(diagonal)²
Diagonal ² = 49×2 = 98
Diagonal = √98 = 9.8cm

Or √98= 7√2=9.8

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