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Which of the following is the area of the special trapezoid if AB = 12, CD = 12, and the height is 9?

a. 33 units2
b. 162 units2
c. 54 units2
d. 108 units2

User Blins
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1 Answer

6 votes

Final answer:

The area of the special trapezoid is calculated by using the trapezoid area formula, which results in the correct answer, 108 square units.

Step-by-step explanation:

The student asked for the area of a special trapezoid where the lengths of the parallel sides, AB and CD, are equal to 12 units each, and the height is 9 units.

To find the area of a trapezoid, you can use the formula:

Area

= ½ × (sum of the lengths of the parallel sides) ×

height

In this case, we can plug in the given values:

Area = ½ × (AB + CD) × height
= ½ × (12 + 12) × 9
= ½ × 24 × 9
= 12 × 9
= 108 units²

Therefore, the correct answer is (d) 108 units².

User TimSum
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