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

Question

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

campbell_st · Answer

you need to include the diagram

anonymous · Answer

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

campbell_st · Answer

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

campbell_st · Answer

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 · Answer

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

anonymous · Answer

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 · Answer

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 · Answer

it didn't work

campbell_st · Answer

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 · Answer

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 · Answer

that will give the area of the large trapezoid

anonymous · Answer

okay ill try that

anonymous · Answer

it did work :"'(

campbell_st · Answer

glad to help

anonymous · Answer

didn't

campbell_st · Answer

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

campbell_st · Answer

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

anonymous · Answer

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