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 answer

To find the area of the quadrilateral, we can split it into two triangles.

One triangle has a base of 8 inches and a height of 10 inches, therefore its area is (1/2)*(8)*(10) = 40 square inches.

The other triangle has a base of 6 inches (14 - 8 = 6) and a height of 10 inches, therefore its area is (1/2)*(6)*(10) = 30 square inches.

Adding the areas of both triangles together gives us the total area of the quadrilateral: 40 + 30 = 70 square inches.

Therefore, the area of the quadrilateral is 70 square inches.