Question

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What is the area of the following composite figure?



https://aoa.sooschools.com/media/g_pal_2015/7/img_trapezoid_as_composite_figure.gif


44 cm 2
52 cm 2
60 cm 2
36 cm 2

Answer 1

Are you told the polygon is a trapezoid?

Answer 2

no it just says composite figure i put the whole question down

Answer 3

In reality, this question cannot be answered because there is not enough information.
I have a feeling they mean this to be a trapezoid, so let's assume they did mean a trapezoid, and find the area.

Answer 4

You can do this two ways:

1. Use a rectangle and a triangle like @Gin_Ichimaru did above.
Find each area and add them together.

2. Use the formula for the area of a trapezoid.

Answer 5

If you use the first method, and use @Gin_Ichimaru 's figure, can you figure out the length and width of the rectangle?

Answer 6

Great explination @mathstudent55

Answer 7

@Gin_Ichimaru Thanks. Nice drawing.

Answer 8

Area of trapezoid = (b1 + b2)h/2

Answer 9

@Oliviagggg

are you understanding what's going on?

Answer 10

so far yes

Answer 11

@Oliviagggg Correct.
You can use that formula.
The bases are 13 cm and 9 cm.
The height is 4 cm.
You have all the info you need for the area of a trapezoid using the formula you wrote above.

Answer 12

Thanks for the Help i got it :)

Answer 13

Where did your correct answer go????

Answer 14

You're welcome.

Answer 15

44cm^2

Answer 16

thats it right?

Answer 17

Still correct!

Answer 18

@Oliviagggg Great job!

Answer 19

Thank You :)