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
\(18 cm^2\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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 \(72 cm^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #69170)