Mathematics: What is the area of this trapezoid? 50 in² 108 in² 126 in² 192 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 2 inches, f e is 12 inches, e c is 2 inches, a b is 12 inches., and e b is 9 inches.

Sub to mcnastyStep-by-step explanation:...

What is the area of this trapezoid? 50 in² 108 in²

gray69

15.03.2022

126 square inches

Explanation:

Trapezoid is a quadrilateral , shape with straight sides that has a pair of opposite sides parallel.

I already attached the image of trpazoid.

Now find the area of trapazoid.

We have a formula to find the area of trapezoid.

Area of trapezoid = $\frac{a + b}{2} h$

where a & b are the parallel side ( here "a" represent the upper side and "b" represent the base)

h is the height of the trapezoid (always remember heigth is the perpendicular distance)

now a = 12 inches (AB)

b = 2 + 12 + 2 (CD = CE + EF + FD) = 16 inches

h = 9 (BE)

Now put all these values in the given formula

Area of trapezoid = $\frac{12 + 16}{2} (9)$

= $\frac{28*9}{2}$

= 14*9

Are of trapezoid = 126 sq in (3rd option is correct)

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