Question

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

Answer 1

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 = $\frac{1}{2} * base * height$

base = 7.5 in and height = 6 in

Area of one triangle = $\frac{1}{2} * 7.5 * 6$ = 22.5 square inches

Area of whole figure = 4 * 22.5 = 90 $in^2$

Answer 2

The ans. is B. 90 in^2