Question

If the area of a trapezoid is 176 square feet, its height measures 16 feet, and one of its bases measures 7 feet, what is the length of the other base?

Answer 1

`15` feet

Explanation:

`"Area"_("trapezoid") = (b_1+b_2)/2xxh`
where `b_1` and `b_2` are the lengths of the (parallel) bases and `h` is the height.

We are given
`color(white)("XXX")(7+b_2)/2 xx 16 =176`

`rarrcolor(white)("XXX")7+b_2= 22`

`rarrcolor(white)("XXX")b_2=15`