anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
jamiebookeater
  • jamiebookeater
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campbell_st
  • campbell_st
you need to include the diagram
anonymous
  • anonymous
the image wont show its a little trapezoid that is24m and a bigger trapezoid that is 57 m|dw:1434053254505:dw|
campbell_st
  • 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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campbell_st
  • 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
  • campbell_st
so the calculation is \[(\frac{57}{24})^2 \times 558\]
anonymous
  • 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
  • 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
  • anonymous
it didn't work
campbell_st
  • 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
  • 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
  • campbell_st
that will give the area of the large trapezoid
anonymous
  • anonymous
okay ill try that
anonymous
  • anonymous
it did work :"'(
campbell_st
  • campbell_st
glad to help
anonymous
  • anonymous
didn't
campbell_st
  • campbell_st
here is an online calculator http://web2.0calc.com/ enter \[( 57 \div 24) ^2 \times 558 = \]
campbell_st
  • campbell_st
because I just did it and got one of your answer choices
anonymous
  • anonymous
oh i kept multiply by 2!! thankyou i had to multiply by 5.64x558

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