Area of Special Quadrilaterals Quick Check
2 of 52 of 5 Items
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
240 cm2
240 cm squared
480 cm2
480 cm squared
220 cm2
220 cm squared
460 cm2
460 cm squared
Skip to navigation
To find the area of the quadrilateral, we can treat it as a combination of a trapezoid and a rectangle.
The area of the trapezoid can be calculated using the formula: Area = 1/2 * (a + b) * h, where a and b are the parallel sides and h is the height.
In this case, a = 24 cm, b = 20 cm, and h = 10 cm. Plugging these values into the formula, we get: Area_trap = 1/2 * (24 + 20) * 10 = 1/2 * 44 * 10 = 220 cm^2
The area of the rectangle is the base times the height, which in this case is 20 cm * 10 cm = 200 cm^2.
Adding the two areas together, we get a total area of 220 cm^2 + 200 cm^2 = 420 cm^2
Therefore, the correct answer is not listed, but it should be 420 cm^2.