Question

the height of a trapezoid can be expressed as x-4, while the bases can be expressed as x+4 and x+9. If the area of the trapezoid is 99 cm^2 Find the length if t

Answer 1

I think you didn't fully copy the question over

Answer 2

one sec

Answer 3

right so the larger base is obviously x + 9, so you just need to find x

Answer 4

do you know how to find the area of a trapezoid?

Answer 5

A=1/2(b1+b2)?

Answer 6

yes, multiplied by height

Answer 7

so like 99=1/2(x-4+x+9)?

Answer 8

close, \[99=(x-4)(\frac{(x+4)+(x+9)}{2})\]

Answer 9

wait why the 2?

Answer 10

\[ 99 = (x-4)(\frac{2x+13}{2}) \\ 198=(x-4)(2x+13)\]

Answer 11

oh okay

Answer 12

so now what?

Answer 13

can you solve for x?

Answer 14

wait im confused

Answer 15

what x?

Answer 16

\[0=2x^2+5x-250 \] and
\[0=(2x+25)(x-10)\] right?

Answer 17

if you're taking it from the internet... why post in the first place

Answer 18

because like i dont understand it

Answer 19

i understand what i put but not what you put

Answer 20

then what is x

Answer 21

ohh okay i got it so all i really need to do is factor right?

Answer 22

you already have it factored, you just need to solve for x, in what you have

Answer 23

so like x=10 right? then i plug that in to solve for A?

Answer 24

or the length?

Answer 25

x+9 is the longer height

so just 10 + 9

Answer 26

oh so its 19 and 14

Answer 27

yes

Answer 28

bruh why didnt you just tell me thats all i needed to do😰

Answer 29

tell you what?

Answer 30

idk but i got the final answer

Answer 31

brb

Answer 32

good job

Answer 33

thanks for your help c.x

Answer 34

yw~