Question

what is the area of the composite figure?
□ units²

Explanation:

Step1: Calculate area of trapezoid

The formula for the area of a trapezoid is $\frac{(a + b)h}{2}$, where $a = 6$, $b = 10$, $h = 5$.
So, area of trapezoid is $\frac{(6 + 10)\times5}{2}=\frac{16\times5}{2}=40$.

Step2: Calculate area of rectangle to subtract

The rectangle has length $3$ and width $2$, so area is $3\times2 = 6$.

Step3: Subtract rectangle area from trapezoid area

Subtract the area of the rectangle from the trapezoid: $40 - 6 = 34$.

Answer:

34