The area of a square is 144 sqcm. Find the length of the diagonal.
A
13 cm
B
12√2 cm
C
12 cm
D
11√3 cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Area of a square = x * x
144 = x2
\sqrt144 = x
12 = x
But d2 = 122 + 122
= 144 + 144
= 288
d = \sqrt288
= \sqrt144 x 2
= 12\sqrt2
Source: Myschool Past Questions Archive (Record #9256)