Question

solve each problem. show your work. 10. angel needs a floor mat for his car. the shape of the floor is a trapezoid. the lengths of the two bases are 15 in. and 18 in. the height is 16 in. what is the area of the mat he needs? (hint: draw a diagram.)

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 bases and $h$ is the height.

Step2: Substitute given values

Let $b_1 = 15$ in, $b_2=18$ in, and $h = 16$ in. Then $A=\frac{(15 + 18)\times16}{2}$.
First, calculate the sum of the bases: $15+18 = 33$ in.
Then, multiply by the height: $33\times16=528$ in².
Finally, divide by 2: $\frac{528}{2}=264$ in².

Answer:

264 in²