What is the area of this trapezoid? 96 in² 132 in² 168 in² 1344 in² trapezoid a b c d with parallel sides d c and a b. points f and e are between d and c. f e b a form a rectangle with 4 right angles. d f is 3 inches, f e is 8 inches., e c is 3 inches., e b is 12 inches., and a b is 8 inches.

Answer
132 〖in〗^2

Explanation
Although the diagram was not given, I was able to get it in the internet.
The area of a trapezium is found by the use of the following formula:
Area =1/2 h(a+b)
Where h is perpendicular distance between the two parallel lines, while a and b is are the lengths of the parallel lines.
In this question;
h=12 in
a=8 in
b=3+8+3=14 in
Area =1/2×12(8+14)
=6×22
132 〖in〗^2 

Option B. 132 inch²

Step-by-step explanation:

Since we know the formula to calculate the area of trapezoid is =

where height of the given trapezoid ABCD is side BE and two parallel sides are AB and DC.

It's given in the question

Side BE = 12 inches

AB = 8 inches

DC = (DF + FE + EC) = (3 + 8 + 3) = 14 inches

Now we put these values in the formula

Area of trapezoid ABCD =

Therefore answer is Option B. 132 inch²

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