Question

solve. 3 the bases of a trapezoid are 7 meters and 12 meters long. the height is 8 meters. what is the area of the trapezoid? the formula for the area, a, of a trapezoid with height h and bases ( b_1 ) and ( b_2 ) is ( a = \frac{1}{2}h(b_1 + b_2) ). show your work.

Explanation:

Step1: Identify the values

We know that for the trapezoid, \( b_1 = 7 \) meters, \( b_2 = 12 \) meters, and \( h = 8 \) meters. The formula for the area of a trapezoid is \( A=\frac{1}{2}h(b_1 + b_2) \).

Step2: Substitute the values into the formula

Substitute \( b_1 = 7 \), \( b_2 = 12 \), and \( h = 8 \) into the formula:
\( A=\frac{1}{2}\times8\times(7 + 12) \)
First, calculate the sum inside the parentheses: \( 7+12 = 19 \)
Then, calculate \( \frac{1}{2}\times8=4 \)
Now, multiply the two results: \( 4\times19 = 76 \)

Answer:

The area of the trapezoid is 76 square meters.