Question

The rear window of Alex's van is shaped like a trapezoid with an upper base measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches. An 18-inch rear window wiper clears a 150° sector of a circle on the rear window. as shown in the diagram below. a. What is the area, in square inches, of the entire trapezoidal rear window Show on explain low you on your answer.

Answer 1

The area of a trapezoid is computed as follows:

`A=(a+b)/(2)\cdot h`

where a and b are the bases, and h is the height of the trapezoid. Replacing with a = 48, b = 36, and h = 21, we get:

`\begin{gathered} A=(48+36)/(2)\cdot21 \\ A=42\cdot21 \\ A=882in^2 \end{gathered}`

The area of the entire trapezoidal rear window is 882 square inches