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?

- mckenzieandjesus

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- mckenzieandjesus

##### 1 Attachment

- mckenzieandjesus

41 ft2
49 ft2
33 ft2
25 ft2

- campbell_st

what is the scaling factor...?

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## More answers

- mckenzieandjesus

What is scaling factor mean?

- mckenzieandjesus

is it 16 and 20?

- campbell_st

the small trapezoid has a side 16ft... what was it multiplied by to get 20ft in the larger trapezoid..

- Kash_TheSmartGuy

The scaling factor can be measured by dividing the smaller measure by the larger measure

- mckenzieandjesus

ok thanks, i got 4/5

- campbell_st

so the ratio is 16:20
divide both sides of the ratio by 16
and you get 1: ? what is ?

- Kash_TheSmartGuy

So, do 20/16 to get the scaling factor and multiply the quotient by 20

- mckenzieandjesus

1 and 1 1/4?

- mckenzieandjesus

oh 1 1/4*20=25

- Kash_TheSmartGuy

Yup! Great job!

- 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

Awesome thank you for helping me learn and understand how to figure it out!! (:

- mckenzieandjesus

wait @campbell_st if I did 1.25 * 16 it equal 20?

- campbell_st

no, the area of the smaller trapezoid is 26
so its
\[(1.25)^2 \times 26\]

- mckenzieandjesus

oh i forgot the 1.25^2 oops thanks

- inkyvoyd

the answer is most definitely eggplants

- Kash_TheSmartGuy

So, 32.5ft2

- campbell_st

no its not 32.5 ft^2

- inkyvoyd

- mckenzieandjesus

@Kash_TheSmartGuy wait u said i was right with 25 why do usay 32.5?

- campbell_st

some people do that...
did you get an answer..?

- mckenzieandjesus

Yes its 25

- campbell_st

and by the answer choices you need to round your answer to the nearest whole number

- campbell_st

no it's not 25

- mckenzieandjesus

Lennyâ€™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

what is it then?

- campbell_st

do the calculation I posted...

- campbell_st

your probability answer is correct

- mckenzieandjesus

Ohh sorry I didn't see that, the other person got me so confused its 41 ft2

- campbell_st

that's correct

- mckenzieandjesus

(1.25)^2*25= 40 5/8 rounds to 41ft2

- mckenzieandjesus

Yay thank You so much!!

- mckenzieandjesus

@campbell_st I have another question similar to this one

- mckenzieandjesus

@jim_thompson5910 i have another question similar to this one will u help?

- 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

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

i got 37 1/2 closest answer to that is 39 ft2

- jim_thompson5910

how did you get 37 1/2 ?

- mckenzieandjesus

I tried figuring it out the way i did the other question above

- mckenzieandjesus

24/30= 4/5

- jim_thompson5910

\[\Large \frac{576}{900} = \frac{x}{61}\]
\[\Large 576*61 = 900*x \ ... \ \text{Cross Multiply}\]
\[\Large x = ??\]

- mckenzieandjesus

24?

- jim_thompson5910

no

- jim_thompson5910

notice how I squared 24 to get 576

- jim_thompson5910

576 isn't the answer. You need to solve that equation for x

- mckenzieandjesus

would i square 576?

- mckenzieandjesus

sorry im lost

- jim_thompson5910

do you see how to solve 576*61 = 900*x

- mckenzieandjesus

do i do 900*61?

- jim_thompson5910

divide both sides of 576*61 = 900*x by 900 to isolate x

- mckenzieandjesus

39 1/25?

- 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

39.04 is closest to 39

- mckenzieandjesus

thats weird i already kind of had that answer but did it another way.

- mckenzieandjesus

Thank u!

- jim_thompson5910

no problem

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