Question bank / Area and volume

Math · Geometry and TrigonometryEasy

A trapezoid has parallel bases of lengths 88 inches and 1414 inches, and its height is 55 inches. What is the area, in square inches, of the trapezoid?

A

4040

B

5555

C

7070

D

110110

Show answer and explanation

Answer: B

The area of a trapezoid is 12(b1+b2)h\frac{1}{2}(b_1 + b_2)h. So A=12(8+14)(5)=12(22)(5)=55A = \frac{1}{2}(8 + 14)(5) = \frac{1}{2}(22)(5) = 55 square inches.

Choice D forgets the factor of 12\frac{1}{2}.

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