mckenzieandjesus
  • mckenzieandjesus
Both trapezoids are similar. The area of the smaller trapezoid is 26 ft2. Which is the best approximation for the area of the larger trapezoid?
Mathematics
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SOLVED
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chestercat
  • chestercat
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mckenzieandjesus
  • mckenzieandjesus
1 Attachment
mckenzieandjesus
  • mckenzieandjesus
41 ft2 49 ft2 33 ft2 25 ft2
campbell_st
  • campbell_st
what is the scaling factor...?

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More answers

mckenzieandjesus
  • mckenzieandjesus
What is scaling factor mean?
mckenzieandjesus
  • mckenzieandjesus
is it 16 and 20?
campbell_st
  • campbell_st
the small trapezoid has a side 16ft... what was it multiplied by to get 20ft in the larger trapezoid..
Kash_TheSmartGuy
  • Kash_TheSmartGuy
The scaling factor can be measured by dividing the smaller measure by the larger measure
mckenzieandjesus
  • mckenzieandjesus
ok thanks, i got 4/5
campbell_st
  • campbell_st
so the ratio is 16:20 divide both sides of the ratio by 16 and you get 1: ? what is ?
Kash_TheSmartGuy
  • Kash_TheSmartGuy
So, do 20/16 to get the scaling factor and multiply the quotient by 20
mckenzieandjesus
  • mckenzieandjesus
1 and 1 1/4?
mckenzieandjesus
  • mckenzieandjesus
oh 1 1/4*20=25
Kash_TheSmartGuy
  • Kash_TheSmartGuy
Yup! Great job!
campbell_st
  • campbell_st
great that is the linear scaling factor... the area's are in a ratio of 1^2 :1.25^2 so square the scaling factor 1.25 and then multiply by the smaller area
mckenzieandjesus
  • mckenzieandjesus
Awesome thank you for helping me learn and understand how to figure it out!! (:
mckenzieandjesus
  • mckenzieandjesus
wait @campbell_st if I did 1.25 * 16 it equal 20?
campbell_st
  • campbell_st
no, the area of the smaller trapezoid is 26 so its \[(1.25)^2 \times 26\]
mckenzieandjesus
  • mckenzieandjesus
oh i forgot the 1.25^2 oops thanks
inkyvoyd
  • inkyvoyd
the answer is most definitely eggplants
Kash_TheSmartGuy
  • Kash_TheSmartGuy
So, 32.5ft2
campbell_st
  • campbell_st
no its not 32.5 ft^2
inkyvoyd
  • inkyvoyd
@KamuiGakupo
mckenzieandjesus
  • mckenzieandjesus
@Kash_TheSmartGuy wait u said i was right with 25 why do usay 32.5?
campbell_st
  • campbell_st
some people do that... did you get an answer..?
mckenzieandjesus
  • mckenzieandjesus
Yes its 25
campbell_st
  • campbell_st
and by the answer choices you need to round your answer to the nearest whole number
campbell_st
  • campbell_st
no it's not 25
mckenzieandjesus
  • mckenzieandjesus
Lenny’s favorite radio station has this schedule: news: 19 min. commercials: 4 min. music: 37 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that the news will be on? My answer is 19/60 am i right?
mckenzieandjesus
  • mckenzieandjesus
what is it then?
campbell_st
  • campbell_st
do the calculation I posted...
campbell_st
  • campbell_st
your probability answer is correct
mckenzieandjesus
  • mckenzieandjesus
Ohh sorry I didn't see that, the other person got me so confused its 41 ft2
campbell_st
  • campbell_st
that's correct
mckenzieandjesus
  • mckenzieandjesus
(1.25)^2*25= 40 5/8 rounds to 41ft2
mckenzieandjesus
  • mckenzieandjesus
Yay thank You so much!!
mckenzieandjesus
  • mckenzieandjesus
@campbell_st I have another question similar to this one
mckenzieandjesus
  • mckenzieandjesus
@jim_thompson5910 i have another question similar to this one will u help?
mckenzieandjesus
  • mckenzieandjesus
Both trapezoids are similar. The area of the larger trapezoid is 61 ft2. Which is the best approximation for the area of the smaller trapezoid? 49 ft2 39 ft2 44 ft2 34 ft2
1 Attachment
jim_thompson5910
  • jim_thompson5910
x = area of smaller trapezoid \[\Large \left(\frac{\text{smaller side}}{\text{larger side}}\right)^2 = \frac{\text{smaller area}}{\text{larger area}}\] \[\Large \left(\frac{24}{30}\right)^2 = \frac{x}{61}\] \[\Large \frac{24^2}{30^2} = \frac{x}{61}\] \[\Large \frac{576}{900} = \frac{x}{61}\] solve for x to get your answer
mckenzieandjesus
  • mckenzieandjesus
i got 37 1/2 closest answer to that is 39 ft2
jim_thompson5910
  • jim_thompson5910
how did you get 37 1/2 ?
mckenzieandjesus
  • mckenzieandjesus
I tried figuring it out the way i did the other question above
mckenzieandjesus
  • mckenzieandjesus
24/30= 4/5
jim_thompson5910
  • jim_thompson5910
\[\Large \frac{576}{900} = \frac{x}{61}\] \[\Large 576*61 = 900*x \ ... \ \text{Cross Multiply}\] \[\Large x = ??\]
mckenzieandjesus
  • mckenzieandjesus
24?
jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
notice how I squared 24 to get 576
jim_thompson5910
  • jim_thompson5910
576 isn't the answer. You need to solve that equation for x
mckenzieandjesus
  • mckenzieandjesus
would i square 576?
mckenzieandjesus
  • mckenzieandjesus
sorry im lost
jim_thompson5910
  • jim_thompson5910
do you see how to solve 576*61 = 900*x
mckenzieandjesus
  • mckenzieandjesus
do i do 900*61?
jim_thompson5910
  • jim_thompson5910
divide both sides of 576*61 = 900*x by 900 to isolate x
mckenzieandjesus
  • mckenzieandjesus
39 1/25?
jim_thompson5910
  • jim_thompson5910
which is 39.04 most (if not all) of the answers will be in decimal form instead of mix number form
jim_thompson5910
  • jim_thompson5910
39.04 is closest to 39
mckenzieandjesus
  • mckenzieandjesus
thats weird i already kind of had that answer but did it another way.
mckenzieandjesus
  • mckenzieandjesus
Thank u!
jim_thompson5910
  • jim_thompson5910
no problem

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