Area of Special Quadrilaterals Quick Check
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Question
Use the image to answer the question.
An illustration shows a trapezoid with parallel sides on the top and bottom. The top side is 24 centimeters and bottom side is 20 centimeters. Two perpendicular dotted lines of 10 centimeters are drawn from the bottom vertices to the top side. The two perpendicular lines are denoted by 4 right angle symbols.
What is the area of the quadrilateral?
(1 point)
Responses
460 cm2
460 cm squared
240 cm2
240 cm squared
220 cm2
220 cm squared
480 cm2
480 cm squared
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To find the area of the quadrilateral, we need to divide it into two triangles and a rectangle.
The area of the rectangle is 20 cm * 10 cm = 200 cm squared
The area of one of the triangles is (1/2)*(24 cm)*(10 cm) = 120 cm squared
Since there are two triangles, the total area of the triangles is 2*(120 cm squared) = 240 cm squared
Adding the area of the rectangle and the total area of the triangles, we get:
200 cm squared + 240 cm squared = 440 cm squared
Therefore, the correct answer is:
460 cm2 or 460 cm squared