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 answer

To find the area of the trapezoid, we can use the formula A = (1/2)(b1 + b2)(h), where b1 and b2 are the lengths of the two parallel sides, and h is the height (distance between the two parallel sides).

In this case, b1 = 6 cm, b2 = 10 cm, and the height is given as 6 cm.

Therefore, A = (1/2)(6 + 10)(6)
A = (1/2)(16)(6)
A = 48 square centimeters

So, the area of the quadrilateral is 48 square centimeters.
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