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
240 cm2
240 cm squared
220 cm2
220 cm squared
460 cm2
460 cm squared
Skip to navigation
An illustration shows a parallelogram. The top side, slanted downward, is 10 inches. The left side is 14 inches. A dotted perpendicular line is drawn from top right vertex to the left side and labeled as 8 inches. It is denoted by one right angle symbol on the right and two right angle symbols on the left.
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.
To find the area of the quadrilateral, we can consider it as the sum of two smaller trapezoids.
The area of the first trapezoid is (1/2)*(20 + 24)*10 = 220 cm²
The area of the second trapezoid is (1/2)*(24 + 20)*10 = 220 cm²
Therefore, the total area of the quadrilateral is 220 cm² + 220 cm² = 440 cm².
None of the provided responses match the calculated area, the closest one would be 460 cm², but the correct answer is 440 cm².