The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
The area of the smaller trapezoid is 558 m2.
Test Image
3147 m2
3249 m2
576 m2
14 m2

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- anonymous

- jamiebookeater

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- campbell_st

you need to include the diagram

- anonymous

the image wont show its a little trapezoid that is24m and a bigger trapezoid that is 57 m|dw:1434053254505:dw|

- campbell_st

ok so the ratio of the corresponding side in is
57/24 you need to square this number and then multiply by the small area

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## More answers

- campbell_st

if you know the ratio of the linear measurements, the ratio of the areas is the square of the linear ratio..
ratio of the volumes is the cube of the linear ratio

- campbell_st

so the calculation is
\[(\frac{57}{24})^2 \times 558\]

- anonymous

i don't understand its a trapezoid and they give me the area of the small on and i have to find the area of the big one and the small trapezoid has 24m under its biggest side and the big trapezoid as 57m under so i don't know how to get the big area oh the world is so much clearer now thank you

- campbell_st

ok...
they is a thing about similar shapes...
all sides are in the same ratio...
in your 2 trapezoids, the small has 24 in the same position as the 57 in the large.
does that make sense...?

- anonymous

it didn't work

- campbell_st

ok... here is the key, you don't need to find any side lengths in the larger trapezoid.
just use the scaling factor...
the scaling factor: large = 57 small = 24
so the scaling factor from small to large is
\[\frac{57}{24} ~~or~~\frac{19}{8}\]
does that make sense..?

- campbell_st

next step is to square the scaling factor
so calculate
\[(\frac{19}{8})^2 = ?\]
then multiply that value by the small area 558

- campbell_st

that will give the area of the large trapezoid

- anonymous

okay ill try that

- anonymous

it did work :"'(

- campbell_st

glad to help

- anonymous

didn't

- campbell_st

here is an online calculator
http://web2.0calc.com/
enter
\[( 57 \div 24) ^2 \times 558 = \]

- campbell_st

because I just did it and got one of your answer choices

- anonymous

oh i kept multiply by 2!! thankyou i had to multiply by 5.64x558

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