Area of Special Quadrilaterals Quick Check

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Question
Use the image to answer the question.

An illustration shows a parallelogram. The top side, slanting downward, is 5 centimeters, and the right side is 25 centimeters. A dotted perpendicular line is drawn from top right vertex to the left side and is labeled as 4 centimeters. It is denoted by two right angle symbols formed with the two sides.

What is the area of the quadrilateral?

(1 point)
Responses

100 cm2
100 cm squared

80 cm2
80 cm squared

75 cm2
75 cm squared

125 cm2
125 cm squared
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Answer 1

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

First, find the area of the triangle on the left side of the dotted line:
(1/2) * base * height = (1/2) * 25 * 4 = 50 cm squared

Next, find the area of the triangle on the right side of the dotted line:
(1/2) * base * height = (1/2) * 5 * 4 = 10 cm squared

Add the areas of the two triangles together to find the total area of the parallelogram:
50 + 10 = 60 cm squared

Therefore, the area of the quadrilateral is 60 cm squared.

None of the provided options seems to be correct.