Question

39. What is the area of trapezoid QRST?

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

Answer 1

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}}`