Question

Calculate the area of the square. Round to the nearest hundredt)

Answer 1

Answer:

144

Step-by-step explanation:

In a 45-45-90 triangle, the ratio of the lengths of the sides is:

leg   :    leg    :    hypotenuse

 1     :     1       :       sqrt(2)

Draw a segment from the center point to the bottom side of the square that is perpendicular to the bottom side. Now you have a right triangle. The hypotenuse is 6sqrt(2). The legs are 6. The bottom leg is half the side of the square.

side of square = 2 * 6 = 12

area = side^2 = 12^2 = 144