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Word problem(finding dimensions)

pita0001

New member
Feb 9, 2014
18
The Children at Tiny Tots Day Care plant a rectangular vegetable garden with a perimeter of 210m. The length is 3/4 the width, Find the dimensions of the garden.

I have no idea how to set up an equation. Any help is appreciated.

Would it be like 210=2(3/4+x)?

or 210=2(x-.25)?
 
Last edited:

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
You are close. Let's let $W$ be the width and $L$ be the length, and so the perimeter is:

\(\displaystyle 210=2(L+W)\)

Now, if the length is 3/4 the width, how can we rewrite $L$ in terms of $W$?
 

pita0001

New member
Feb 9, 2014
18
I don't know:confused::confused:

210=2(L-3/4)

or 210=2(L*3/4)?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
The statement "The length is 3/4 the width" translates into an equation as follows:

\(\displaystyle L=\frac{3}{4}W\)

So, substituting that into the first equation, we obtain:

\(\displaystyle 210=2\left(\frac{3}{4}W+W \right)\)

So, now you want to solve this equation for $W$, and then use the relationship above between $L$ and $W$ to obtain the value of $L$. What do you find?
 

pita0001

New member
Feb 9, 2014
18
I get 210=1.5w+2w
so W=60?
and length 45
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775

pita0001

New member
Feb 9, 2014
18
Length=45

thanks!:)