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
480 cm2
480 cm squared
460 cm2
460 cm squared
220 cm2
220 cm squared
240 cm2
240 cm squared
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To find the area of the trapezoid, we can split it into a triangle and a rectangle.
The triangle has a base of 20 cm (bottom side), a height of 10 cm, so its area is (1/2) * base * height = (1/2) * 20 * 10 = 100 cm^2.
The rectangle has a base of 20 cm and a height of 10 cm (distance between the two perpendicular lines), so its area is base * height = 20 * 10 = 200 cm^2.
Adding the areas of the triangle and rectangle together, we get 100 + 200 = 300 cm^2.
Therefore, the correct answer is not provided in the options given.
300 is incorrect
Apologies for the mistake. Let's try calculating it again.
To find the area of the trapezoid, we can use the formula for the area of a trapezoid: (1/2) * (sum of the lengths of the parallel sides) * height.
In this case, the sum of the lengths of the parallel sides is 24 + 20 = 44 cm, and the height is 10 cm. Plugging these values into the formula, we get:
(1/2) * 44 * 10 = 220 cm^2.
Therefore, the correct answer is:
220 cm^2