Question

Use the image to answer the question.

An illustration shows a parallelogram. The top side, slanted downward, is 10 inches. The left side is 14 inches. A dotted perpendicular line is drawn from top right vertex to the left side and labeled as 8 inches. It is denoted by one right angle symbol on the right and two right angle symbols on the left.

What is the area of the quadrilateral?

(1 point)
Responses

A 102 in.^2
B 140 in.^2
C 80 in.^2
D 112 in.^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of the quadrilateral, we can divide it into two triangles and find the area of each triangle separately.

First, find the area of the triangle with base 10 inches and height 8 inches:
Area = (1/2) * base * height
Area = (1/2) * 10 * 8
Area = 40 in^2

Next, find the area of the triangle with base 14 inches and height 8 inches:
Area = (1/2) * base * height
Area = (1/2) * 14 * 8
Area = 56 in^2

Add the areas of both triangles to find the total area of the quadrilateral:
Total area = 40 + 56
Total area = 96 in^2

Therefore, the area of the quadrilateral is 96 in^2.

None of the provided answer choices are correct.