Question

I need to find the length x of KL

Answer 1

Answer:

3.6

Step-by-step explanation:

We're going to use length DC and ML, along with DA and MJ

$\frac{DC}{ML} = \frac{5}{6}$ which is 0.833333333

now for

$\frac{DA}{MJ} =\frac{7}{8.4}$ which is 0.833333333 (again)

as you can see since the shapes ABCD and JKLM are similar, they have a relationship which in this case is 0.833333333

and we can use this 0.833333333 to help us find the length of KL

knowing that any length for ABCD divided by JKLM is 0.833333333

we can do

$\frac{CB}{LK}=0.833333333$

since we don't know what KL is, we can switch the spots and enlongate it, to become:

$\frac{CB}{0.833333333} =LK$

put in the value for CB

$\frac{3}{0.833333333} =LK$

and we get 3.6

The length of x of KL is...

3.6