what is the area of the figure below?
45 in^2
90 in^2
135 in^2
180 in ^2

Answer : 90 in^2
Parallelogram is make of 4 triangles and each triangle is a right angle triangle
4 triangles are congruent (sides and angles are equal)
so we find area of one triangle and then multiply by 4 to get the area of whole figure
Area of one triangle = [tex] \frac{1}{2} * base * height [/tex]
base = 7.5 in and height = 6 in
Area of one triangle = [tex] \frac{1}{2} * 7.5 * 6 [/tex] = 22.5 square inches
Area of whole figure = 4 * 22.5 = 90 [tex] in^2 [/tex]