Question

7.3.ap - 1
find the area of the shape.
the area is
(type a whole number or a decimal.)

Explanation:

Step1: Find the length of the lower base of the trapezoid

The lower base of the trapezoid \(b = 9.3 - 2=7.3\) cm.

Step2: Use the trapezoid area formula \(A=\frac{(a + b)h}{2}\)

Here, \(a = 3\) cm (upper base), \(b = 7.3\) cm (lower base), \(h = 6\) cm (height).
Substitute into the formula: \(A=\frac{(3 + 7.3)\times6}{2}\)
First calculate the sum of the bases: \(3+7.3 = 10.3\)
Then multiply by the height: \(10.3\times6=61.8\)
Finally divide by 2: \(A=\frac{61.8}{2}=30.9\)

Answer:

\(30.9\)