## tootsi123 one year ago Can anybody hep me with the formula.... I think i can solve it with the formula

1. tootsi123

2. jim_thompson5910

|dw:1440104903163:dw|

3. jim_thompson5910

|dw:1440104992744:dw|

4. tootsi123

So would i do 4/x

5. jim_thompson5910

The figures are similar which means that each side of the smaller figure is multiplied by some number to get the length of the corresponding side in the larger figure eg: AB is multiplied by some number k to get the length of JK |dw:1440105113878:dw| AB*k = JK 3*k = 4.2 what is the value of k ?

6. jim_thompson5910

yes you can also set up a proportion identify a pair of corresponding sides (one pair has LM = x in it) CD corresponds to LM BC corresponds to KL so we have this proportion CD/LM = BC/KL 4/x = 1/1.4 then solve for x

7. tootsi123

$\frac{ 4 }{ x }= \frac{ 1 }{ 1.4 }$ cross multiply 4 time 1.4 = 5.6 x=1 am i right so far

8. jim_thompson5910

x = 1 is incorrect

9. jim_thompson5910

but you have 5.6 as part of your work. I think you meant to say x = 5.6 ?

10. tootsi123

Oh okay. the length of LM is 5.6 got it

11. jim_thompson5910

yep, x = 5.6 is correct