Question

A trapezoid has an area of 166.5 in.^2 , height of 9 in. and one base 15 in. What is the length of the other base?

Answer 1

hint:
the area A of a trapezoid, is given by the subsequent formula:
\[A = \frac{{B + b}}{2} \times H\]
where B is one base, b is the other base and H is the height

Answer 2

If I substitute your data into the above formula, I get:
\[166.5 = \frac{{15 + x}}{2} \times 9\]

Answer 3

where x is the requested base

Answer 4

hint:
next step is:
\[15 + x = \frac{{166.5 \times 2}}{9} = ...?\]

Answer 5

thank you, I think I got how to do it. Thank you so much

Answer 6

Thank you!