Question

Solve this problem using the proper formula. 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, l.e., the altitude of the figure

Answer 1

Let's make a diagram

We know that the sum of the bases is 280 feet, and the area of the lot is 8,400 square feet. Let's use the area formula for trapezoids

$A=\frac{(B+b)h}{2}$

Let's replace the given information

$\begin{gathered} 8,400=\frac{280\cdot h}{2} \\ 8,400=140h \\ h=\frac{8,400}{140} \\ h=60 \end{gathered}$

Hence, the altitude is 60 feet.