Question

In a right triangle whose area is 12, each leg is as long as the side of a certain square. What is the area of the square?

Answer 1

Since the legs are as long as the side of a single square, the legs are congruent.

A = bh/2, but b = h, so

A = b^2/2

b^2/2 = A

b^2/2 = 12

b^2 = 24

b = sqrt(24)

The legs of the right triangle have length sqrt(24).

A = s^2 = (sqrt(24))^2 = 24

Answer: The area of the square is 24.

Answer 2

The area of a Square is 144 because 12x12 is 144 and if both sides are 12 then that equals 144. 

Hope this helps!