ABCD is a trapezoid with AD = 5 ft, DC = 7 ft, and AB = 15 ft.
Find the area of the trapezoid.
A.) 30 ft2
B.) 33 ft2
C.) 44 ft2
D.) 55 ft2

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- chestercat

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- anonymous

|dw:1435239996387:dw|

- anonymous

i was thinking to multiply 7*5*15=525 cause you need to find the area then i was thinking maybe to add 7+5+15=27s so i did the easy way and did 5*7=35 so m thinking to estimate would be B is this good enough he for this one^?

- anonymous

did his help enough ? this ones a little confusing but i got it (B)

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## More answers

- Vocaloid

area of a trapezoid = (1/2)(base1 + base 2)*height
base 1 is AB, which is 15
base 2 is DC, which is 7
we don't know the height, but we can find it if we recognize the triangle ADE

- Vocaloid

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- anonymous

if u do 15*7=105 that's not an answer and if u try to do 5*15=75 so that wont work

- Vocaloid

I'm not done explaining, please let me finish...

- Vocaloid

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- anonymous

i was thinking (b) or (c) but you got to think if u do 15*7 or 5*15 it wont work then i did 5*7=35 so i went t the closest estimate and got 33 which is b

- Vocaloid

alright, so we know that the bottom is 15 and the top is 7, right?
we can see from the diagram that a+b = 15-7, and since a and b are equal, we know that 2a = 8, and a = 4

- Vocaloid

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- Vocaloid

using the pythagorean theorem, we see that (height)^2 + 4^2 = 25, so the height is 3
now, going back to the original equation...
height = 3
base 1 = 15
base 2 = 7
area of a trapezoid = (1/2)(base1 + base 2)*height

- Vocaloid

it's usually better to calculate the exact answer, rather than estimating

- anonymous

i actually used a calculator if u are trying to a smart one just letting u know :) i was making an expression nother word for something

- Vocaloid

^ that's not what I meant, what I meant was to actually use the correct formula instead of estimating the answer...

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