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

Question

2 years ago

4

of the lot is 8,400 square feet, what is the distance across the lot, l.e., the altitude of the figure

1 answer:

maksim [4K] · Answer 1 · 2024-02-09T06:31:46+03:00

6 0

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

$\begin{gathered} 8,400=\frac{280\cdot h}{2} \\ 8,400=140h \\ h=\frac{8,400}{140} \\ h=60 \end{gathered}$ <h2>Hence, the altitude is 60 feet.</h2>