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Mathematics 20 Online
OpenStudy (spanishrose):

Where did I make a mistake in this problem?

undeadknight26 (undeadknight26):

*waits calmly and collectively to view this problem*.

OpenStudy (spanishrose):

The equation for the area of a trapezoid is A=1/2(^b1+^b2)h, where A represents the area, b1 and b2 represent the length of the bases, and h represents the height of the trapezoid. I'm trying to find the height of several trapezoids, and I need to isolate the h variable in the formula. My work is outlined below: A=1/2(b1+b2)h Step A: 2A=2(b1+b2)h Step B: 2A/2(b1+b2)=h Step C: A/b1+b2=h What mistake, if any, did I make? My friend texted me saying it was wrong and now won't reply, and I don't want to submit it if it is.

OpenStudy (spanishrose):

sorry for taking forever to type it out btw

OpenStudy (spanishrose):

???

undeadknight26 (undeadknight26):

I personally forgot how to do this because my brain is currently fried because of this economics test. Let me plug it into a calculator and see what I get.

OpenStudy (kl0723):

after multiplying both side by 2 the 1/2 cancels with the two so that's where u need to check

OpenStudy (kl0723):

2A=(b1+b2)h

OpenStudy (kl0723):

follow from there

OpenStudy (spanishrose):

wait so i shouldn't have multiplied both sides?

OpenStudy (kl0723):

\[A = \frac{ 1 }{ 2 }(b_{1}+b_{2})h\] this is how the equation should be right?

OpenStudy (spanishrose):

Yes

OpenStudy (kl0723):

both side by 2 will eliminate the 1/2 on the other side leaving a factor of 1

OpenStudy (kl0723):

\[2A = (b _{1}+b _{2})h\]

OpenStudy (spanishrose):

that's what i was trying to type

OpenStudy (spanishrose):

I couldn't figure out how to make the b's go up though lol

OpenStudy (kl0723):

\[\frac{ 2A }{ (b _{1}+b _{2}) }=h\]

OpenStudy (spanishrose):

so is that the correct answer then?

OpenStudy (kl0723):

it should be according to the first equation i typed which you said was properly written

OpenStudy (kl0723):

do you mind using the drawing tool to write equation as you have it?

OpenStudy (kl0723):

\[A = \frac{ 1 }{ 2(b_{1} +b_{2})h}\]

OpenStudy (kl0723):

is this your equation or the one i asked you previously?

OpenStudy (kl0723):

trapezoid should be \[A = \frac{ a+b }{ 2 }h\]

OpenStudy (kl0723):

which is the same as the one i originally asked you about, so yeah the answer is correct

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