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4 years ago

What is the area of the given trapezoid ABCD? A. 28 in2 B. 56 in2 C. 110 in2 D. 112 in2

Mathematics

2 answers:

valina [46]4 years ago

8 0

B. 56

because ((6 + 22) x 4) / 2

USPshnik [31]4 years ago

5 0

Answer: The correct option is (B) 56 in².

Step-by-step explanation: We are given to find the area of the trapezoid ABCD shown in the figure.

We know that

AREA of a trapezoid with length of the parallel sides a units, b units and height h units is given by

$A=\dfrac{1}{2}(a+b)h.$

For the given trapezoid ABCD, we have

a = AB = 6 in, b = CD = 22 in and height, h = 4 in.

Therefore, the AREA of trapezoid ABCD is given by

$A\\\\\\=\dfrac{1}{2}(a+b)h\\\\\\=\dfrac{1}{2}(6+22)\times4\\\\=2\times28\\\\=56~\textup{in}^2.$

Thus, the required area of the trapezoid ABCD is 56 in².

Option (B) is CORRECT.

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