Question

what is the area? 7.9 in 10.9 in 12.5 in square inches

Explanation:

Step1: Recall the trapezoid area formula

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a\) and \(b\) are the lengths of the parallel sides, and \(h\) is the height. Here, \(a = 7.9\) in, \(b=12.5\) in, and \(h = 10.9\) in.

Step2: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Step3: Calculate the numerator

\(20.4\times10.9=(20 + 0.4)\times10.9=20\times10.9+0.4\times10.9=218+4.36 = 222.36\)

Step4: Divide by 2

\(A=\frac{222.36}{2}=111.18\)

Answer:

\(111.18\)