Question

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answer 1

Answer:
`92 \text{ yd}^2`

=======================================================

Work Shown:

`A = (h(b_1+b_2))/(2)\\\\A = (8(19+4))/(2)\\\\A = (8(23))/(2)\\\\A = (184)/(2)\\\\A = 92\\\\`

The
`b_1` and
`b_2` are the parallel bases, while h is the height perpendicular to each base.

The units are in square yards, abbreviated as
`\text{yd}^2`

Think of a 1 yard by 1 yard square that has an area of
`(1 \text{ yd})*(1 \text{ yd}) = (1)^2(\text{yd})^2 = 1 \text{ yd}^2`

The side of 9 yards is never used and put in there as a distraction.