The area of the quadrilateral is 36 square centimeters.
Explanation:
To find the area of the trapezoid, we first need to find the height. Since the two perpendicular lines drawn from the top vertices form a right triangle with base 6 cm and hypotenuse 6 cm, the height can be found using the Pythagorean theorem: height^2 + 6^2 = 6^2, height^2 + 36 = 36, height^2 = 0, height = 0.
Since the height is 0, the area of the trapezoid is 1/2 * (sum of top and bottom side lengths) * height = 1/2 * (6 + 10) * 0 = 0.
Therefore, the area of the quadrilateral is 0 square centimeters.
Area of Special Quadrilaterals Practice
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Question
Use the image to answer the question.
An illustration shows a trapezoid with top side as 6 centimeters and bottom side as 10 centimeters. Two perpendicular dotted lines extend from the top vertices to the bottom side and are labeled 6 centimeters each. The two perpendicular lines are denoted by 4 right angle symbols.
What is the area of the quadrilateral?
(1 point)
cm2
1 answer
1 answer