Question

unit 3 - geometry
question 27, 6.4.13
hw score: 62.07%, 36 of 58 points
points: 0 of 1
find the area of the geometric figure.
trapezoid diagram with top base 3 yd, height 3 yd, bottom base 7 yd
the area is □ . (simplify your answer.)

Explanation:

Step1: Recall trapezoid area formula

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 two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases).

Step2: Identify values

From the figure, $b_1 = 3$ yd, $b_2 = 7$ yd, and $h = 3$ yd.

Step3: Substitute into formula

Substitute the values into the formula: $A = \frac{1}{2}(3 + 7) \times 3$.
First, calculate the sum of the bases: $3 + 7 = 10$.
Then, multiply by $\frac{1}{2}$ and the height: $\frac{1}{2} \times 10 \times 3 = 5 \times 3 = 15$.

Answer:

15 square yards