Question

a trapezoid has an area of 166.5in^2height 9, and one base 15in. what is the length of the other base?

Answer 1

A=.5(b1+b2)*h correct

Answer 2

and your givens are

h=9
b1=15
A=166.5 in^2

Answer 3

yea is their some kind of equation to find the other base?

Answer 4

so if you just replace the formula with your given data you'll get

166.5=.5(15+b2)*9

Answer 5

you can solve it with the regular equation since there is only one missing variable

Answer 6

now snce everything on the right is multiplied by each other, you can get rid of the .5 by multiplying it with 9 to get 4.5

Answer 7

so now you should have
166.5=4.5(15+b2)

Answer 8

if you multiply this out you get\[166.5=67.5+4.5b_2\]

Answer 9

you distribut it/

Answer 10

yes distribute and then it becomes a simple problem to solve

Answer 11

\[166.5-67.5=67.5-67.5+4.5b_2\]

Answer 12

\[99=4.5b_2\]

Answer 13

22?

Answer 14

\[\frac{99}{4.5}=\frac{4.5b_2}{4.5}\]

Answer 15

b2 = 22

Answer 16

now to check use the original formula for A

Answer 17

ok thanks ! but i still have a question for the other one when i got the answer that is not one of the answer choices?

Answer 18

\[166.5=.5(15+22)*9=4.5(15+22)=4.5(37)=166.5\]

Answer 19

what were the answer choices

Answer 20

36squareroute3cm^2
44squareroute3cm^2
65cm^2
88cm^2

Answer 21

65 is probably the answer since there i probably a few rounding errors let me just make sure

Answer 22

ok that is what i thought too

Answer 23

yeah if you do the triangle seperately and then the rectangle it comes out to be 64.495 cm^2

Answer 24

if you use the trapezoid formula it comes out to 62.4