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39. What is the area of trapezoid QRST?

A. 54 square units
B. 68 square units
C. 76 square units
D. 108 square units

39. What is the area of trapezoid QRST? A. 54 square units B. 68 square units C. 76 square-example-1
User OGreeni
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1 Answer

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Answer:

54 square units

Explanation:

The formula for the area of a trapezoid is:


A=(b_1 + b_2)/(2) \cdot h

where
b_1 and
b_2 are the lengths of the two bases (the parallel sides), and
h is the trapezoid's vertical height.

We can gather the following dimensions from the diagram:


  • b_1 = TS = 12

  • b_2 = QR = 6

  • h = 6

Plugging these into the formula and solving for
A:


A = (12 + 6)/(2) \cdot 6


A = (18)/(2) \cdot 6


A = 9 \cdot 6


\boxed{A = 54 \text{ square units}}

User Animea Animea
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