Question

find how many square feet of land are in the plot shown on the right. the area is square feet. (simplify your answer.)

Explanation:

Step1: Identify the shape (trapezoid)

The plot is a trapezoid with bases \( b_1 = 110 \) ft, \( b_2 = 130 \) ft, and height \( h = 80 \) ft.

Step2: Use trapezoid area formula

The formula for the area \( A \) of a trapezoid is \( A=\frac{(b_1 + b_2)}{2}\times h \).
Substitute \( b_1 = 110 \), \( b_2 = 130 \), \( h = 80 \):
\( A=\frac{(110 + 130)}{2}\times80 \)

Step3: Simplify the expression

First, calculate \( 110 + 130 = 240 \).
Then, \( \frac{240}{2}=120 \).
Finally, \( 120\times80 = 9600 \).

Answer:

9600