The length of the diagonal of a square is 12 cm. Calculat...
The length of the diagonal of a square is 12 cm. Calculate the area of the square.
A.
\(36 cm^2\)
B.
\(48 cm^2\)
C.
\(72 cm^2\)
D.
\(18 cm^2\)
Correct answer is C
Let each side be l, then area = \(l^2\)
Using Pythagoras theorem
\(l^2 + l^2 = 12^2\)
\(2l^2 = 144\)
divide both sides by 2
\(l^2 = 72\)
Therefore, the Area of the square is \(72 cm^2\)
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