What is the area of the square below?

a. 16.97 cm.2
b. 72 cm.2
c 144 cm.2
d. 288 cm.2

288 cm^2

Step-by-step explanation:

The diagonal of the square is 24 = 2 *12

We can use Pythagorean theorem to solve.

Let s= side length of the square

s^2 + s^2 = 24^2

2s^2 = 24^2

2s^2 =576

Divide each side by 2

2/2s^2 =576/2

s^2 = 288

Take the square root each side

sqrt(s^2) = sqrt(288)

s = 16.97056275

s = 16.97 cm

We want to find the area

A =s^2

A = 16.97 ^2

A = 288 cm^2