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
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Answer 1

[AI-generated answer — Bot GPT 3.5]

The area of the quadrilateral can be calculated using the formula for the area of a trapezoid:

Area = 1/2 * (a + b) * h

Where a and b are the lengths of the parallel sides, and h is the perpendicular height.

In this case, a = 6 cm, b = 10 cm, and h = 6 cm.

Plugging the values into the formula:

Area = 1/2 * (6 + 10) * 6
Area = 1/2 * 16 * 6
Area = 1/2 * 96
Area = 48 cm²

Therefore, the area of the quadrilateral is 48 cm².