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QUESTION IMAGE

3.1 cm 5.1 cm 7.3 cm 53.04 26.52 13.3 35.02

Question

3.1 cm
5.1 cm
7.3 cm
53.04
26.52
13.3
35.02

Explanation:

Step1: Recall the trapezoid area formula

The area formula 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, \(a = 3.1\mathrm{cm}\), \(b=7.3\mathrm{cm}\), \(h = 5.1\mathrm{cm}\).

Step2: Substitute values into the formula

Substitute the values into the formula: \(A=\frac{(3.1 + 7.3)\times5.1}{2}\). First, calculate the sum of the parallel sides: \(3.1+7.3 = 10.4\). Then, multiply by the height: \(10.4\times5.1=53.04\). Finally, divide by 2: \(\frac{53.04}{2}=26.52\).

Answer:

\(26.52\)