Question

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?

Answer 1

41 ft2
49 ft2
33 ft2
25 ft2

Answer 2

what is the scaling factor...?

Answer 3

What is scaling factor mean?

Answer 4

is it 16 and 20?

Answer 5

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

Answer 6

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

Answer 7

ok thanks, i got 4/5

Answer 8

so the ratio is 16:20

divide both sides of the ratio by 16

and you get 1: ? what is ?

Answer 9

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

Answer 10

1 and 1 1/4?

Answer 11

oh 1 1/4*20=25

Answer 12

Yup! Great job!

Answer 13

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

Answer 14

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

Answer 15

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

Answer 16

no, the area of the smaller trapezoid is 26

so its

\[(1.25)^2 \times 26\]

Answer 17

oh i forgot the 1.25^2 oops thanks

Answer 18

the answer is most definitely eggplants

Answer 19

So, 32.5ft2

Answer 20

no its not 32.5 ft^2

Answer 21

@KamuiGakupo

Answer 22

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

Answer 23

some people do that...

did you get an answer..?

Answer 24

Yes its 25

Answer 25

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

Answer 26

no it's not 25

Answer 27

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?

Answer 28

what is it then?

Answer 29

do the calculation I posted...

Answer 30

your probability answer is correct

Answer 31

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

Answer 32

that's correct

Answer 33

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

Answer 34

Yay thank You so much!!

Answer 35

@campbell_st I have another question similar to this one

Answer 36

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

Answer 37

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

Answer 38

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

Answer 39

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

Answer 40

how did you get 37 1/2 ?

Answer 41

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

Answer 42

24/30= 4/5

Answer 43

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

Answer 44

24?

Answer 45

no

Answer 46

notice how I squared 24 to get 576

Answer 47

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

Answer 48

would i square 576?

Answer 49

sorry im lost

Answer 50

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

Answer 51

do i do 900*61?

Answer 52

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

Answer 53

39 1/25?

Answer 54

which is 39.04

most (if not all) of the answers will be in decimal form instead of mix number form

Answer 55

39.04 is closest to 39

Answer 56

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

Answer 57

Thank u!

Answer 58

no problem