MHB Find the possible dimensions for each garden

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What I did:
x = Emily's garden's width
x+4 = Emily's garden's length

y= Sarah's garden's width
18 = Sarah's garden's length

y=x+4(as stated in problem)

x/x+4 = y/18(as the two gardens are similar)
Which means that x/x+4 = x+4/18

Now I can't seem to find x
 

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$$\frac{x}{x+4}=\frac{x+4}{18}\implies18x=x^2+8x+16$$

Can you now find $x$?
 
greg1313 said:
$$\frac{x}{x+4}=\frac{x+4}{18}\implies18x=x^2+8x+16$$

Can you now find $x$?

Actually that's where I got to and couldn't go any further
 
$$18x=x^2+8x+16$$

$$x^2-10x+16=0$$

$$(x-2)(x-8)=0$$

$$x=2\text{ or }x=8$$
 
greg1313 said:
$$18x=x^2+8x+16$$

$$x^2-10x+16=0$$

$$(x-2)(x-8)=0$$

$$x=2\text{ or }x=8$$

Thank you so much!
 
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