Question

What is the area of the figure below?

45 in^2
90 in^2
135 in^2
180 in ^2

Answer 1

The ans. is B. 90 in^2

Answer 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 =
`(1)/(2) * base * height`

base = 7.5 in and height = 6 in

Area of one triangle =
`(1)/(2) * 7.5 * 6` = 22.5 square inches

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