Question

3
select the correct answer.
a company designs a new water pitcher. they take a picture of the pitcher for their promotional materials. what is the approximate area filled by the water in the picture on the flyers?

a. about ( 48 mathrm{in}^{2} )
b. about ( 32 mathrm{in}^{2} )
c. about ( 66 mathrm{in}^{2} )
d. about ( 80 mathrm{in}^{2} )

Explanation:

Step1: Recall the trapezoid area formula

The formula for the area of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1\) and \(b_2\) are the lengths of the parallel sides and \(h\) is the height.

Step2: Identify the values of \(b_1\), \(b_2\) and \(h\)

From the figure, \(b_1 = 3\) in, \(b_2=8\) in, and \(h = 12\) in.

Step3: Substitute the values into the formula

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Answer:

C. about \(66\mathrm{in}^2\)