A lot is in the shape of a trapezoid. The sum of the bases is 280 feet. If the area of the lot is 8,400 square feet, what is the distance across the lot, i.e. the altitude of the figure?

The altitude of the trapezoid is______feet.

Question

A lot is in the shape of a trapezoid. The sum of the bases is 280 feet. If the area of the lot is 8,400 square feet, what is the distance across the lot, i.e. the altitude of the figure?

The altitude of the trapezoid is______feet.

kropot72 · Answer

The formula for the area of a trapezoid A is:
$$A=(\frac{b1+b2}{2})\times h$$So the altitude h is:
$$h=A \times (\frac{2}{b1+b2})=8400\times \frac{2}{280}=?feet$$

anonymous · Answer

where did you get 2
i thought its 1/2

kropot72 · Answer

When rearranging the formula for area to find the altitude in terms of area and base lengths the following term must be inverted
$$(\frac{b1+b2}{2})$$
to give
$$(\frac{2}{b1+b2})$$

anonymous · Answer

ok

anonymous · Answer

so H is not important than???

anonymous · Answer

60

kropot72 · Answer

h is what we need to find.
As I wrote previously
$$h=\frac{8400\times 2}{280}$$
which you correctly calculated asas 60 feet.

kropot72 · Answer

*as

anonymous · Answer

if we looking for area what formula do i use??

kropot72 · Answer

The area of what?

anonymous · Answer

the last problem that i worked on we were looking for area trapezoid right

anonymous · Answer

we were looking for H im sorry

kropot72 · Answer

The formula for area that you messaged me is basically the same as the one that I have posted here. They are different ways of expressing the same. So you can use either for area. Either formula for area can be rearranged to find h if the area and bases are known>