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Find the area of a trapezoid with bases that measure 9.2 cm and 7.7 cm, and height 6.8 cm. A. 114.92 cm2 B. 481.7 cm2 C. 57.46 cm2 D. 28.73 cm2

Verified Answer :

The answer is C) 57.46cm2

To find the area of a trapezoid you add together the parallel lines and times the answer by the height. Then you divide it by 2.

Answer: C. \(57.46\ cm^2\)

Step-by-step explanation:

The area of trapezoid is given by :-

\(\text{Area}=\dfrac{1}{2}(a+b)h\), where a and b area the bases and h is height of the trapezoid.

Given: The length of the bases are 9.2 cm and 7.7 cm.

The height of the trapezoid = 6.8 cm

Now, the area of a trapezoid will be:-

\(\text{Area}=\dfrac{1}{2}(9.2+7.7)(6.8)\\\\\Rightarrow\text{Area}=57.46\ cm^2\)

Hence, the area of a trapezoid  = \(57.46\ cm^2\)