Question

name____ period__ date__ area of a trapezoid 1) a = __ 2) a = __ 3) a = __ 4) a = __ 5) a = __ 6) a = ____

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area of a trapezoid is $A=\frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height.

Problem 1:

Step1: Identify values

$b_1 = 6\ ft$, $b_2 = 10\ ft$, $h = 11\ ft$.

Step2: Substitute into formula

$A=\frac{1}{2}(6 + 10)\times11=\frac{1}{2}\times16\times11 = 88\ ft^{2}$

Problem 2:

Step1: Identify values

$b_1 = 3\ miles$, $b_2 = 5\ miles$, $h = 2\ miles$.

Step2: Substitute into formula

$A=\frac{1}{2}(3 + 5)\times2=\frac{1}{2}\times8\times2=8\ miles^{2}$

Problem 3:

Step1: Identify values

$b_1 = 3\ mm$, $b_2 = 5\ mm$, $h = 8\ mm$.

Step2: Substitute into formula

$A=\frac{1}{2}(3 + 5)\times8=\frac{1}{2}\times8\times8 = 32\ mm^{2}$

Answer:

1. $88\ ft^{2}$
2. $8\ miles^{2}$
3. $32\ mm^{2}$