Question

find the area of a square, the length of whose diagonal is 72 CM?

Answer 1

if a is the side of square
diagonal of square = √2 (a)= 72
a = 72/√2
area of square = a^2 = 2592 cms

Answer 2

The area of square is 2592 cm².

Step-by-step explanation:

Area of square is

$A=\frac{1}{2}d^2$

where, d is the length of the diagonal.

It is given that length of diagonal is 72 cm.

Substitute d=72 in the above formula.

$A=\frac{1}{2}(72)^2$

$A=\frac{1}{2}(5184)$

$A=2592$

Therefore, the area of square is 2592 cm².

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