Question

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

Explanation:

Step1: Identify the shape (trapezoid)

The plot is a trapezoid with bases \( b_1 = 100 \) ft, \( b_2 = 130 \) ft, and height \( h = 70 \) 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 \( b_1 = 100 \), \( b_2 = 130 \), \( h = 70 \):
\( A=\frac{(100 + 130)}{2}\times70 \)

Step3: Simplify the expression

First, calculate \( 100 + 130 = 230 \).
Then, \( \frac{230}{2}=115 \).
Finally, \( 115\times70 = 8050 \).

Answer:

\( 8050 \)