Use the image to answer the question.

An illustration shows a parallelogram with top side as 10 centimeters. A perpendicular dotted line from top left vertex to the bottom side is 8 centimeters. The perpendicular line makes one right angle symbol with top side and two right angle symbols with the bottom side.

What is the area of the quadrilateral?
(1 point)
cm2

1 answer

The area of the quadrilateral can be calculated by finding the area of the two triangles formed and then adding them together.

Area of triangle 1 = 1/2 * base * height
Area of triangle 1 = 1/2 * 10 * 8
Area of triangle 1 = 40 cm^2

Area of triangle 2 = 1/2 * base * height
Area of triangle 2 = 1/2 * 10 * 8
Area of triangle 2 = 40 cm^2

Adding the areas of the two triangles together:
Total area = 40 cm^2 + 40 cm^2
Total area = 80 cm^2

Therefore, the area of the quadrilateral is 80 cm^2.
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