anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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

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Vocaloid
  • 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
  • Vocaloid
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anonymous
  • 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
  • Vocaloid
I'm not done explaining, please let me finish...
Vocaloid
  • Vocaloid
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anonymous
  • 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
  • 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
  • Vocaloid
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Vocaloid
  • 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
  • Vocaloid
it's usually better to calculate the exact answer, rather than estimating
anonymous
  • 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
  • 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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