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?
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.