Question

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

Explanation:

Step1: Recall trapezoid area formula

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

For the first trapezoid:

Step2: Identify the values

$b_1 = 8$ ft, $b_2=10$ ft, $h = 11$ ft.

Step3: Substitute into formula

$A=\frac{(8 + 10)\times11}{2}=\frac{18\times11}{2}=9\times11 = 99$ square feet.

For the second trapezoid:

Step4: Identify the values

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

Step5: Substitute into formula

$A=\frac{(3 + 5)\times2}{2}=8$ square miles.

For the third trapezoid:

Step6: Identify the values

$b_1 = 2$ mm, $b_2 = 5$ mm, $h = 8$ mm.

Step7: Substitute into formula

$A=\frac{(2 + 5)\times8}{2}=\frac{7\times8}{2}=28$ square mm.

Answer:

1. $99$ square feet
2. $8$ square miles
3. $28$ square mm