Question

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.

Answer 1

The answer is 126 i hope this helps!

Answer 2

Answer: 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)