SOLUTION: The perimeter of a rectangle is 24 cm. Find the value of x. length is 3x cm. and width is 3 cm. what is the answer please. 3 cm fffff fffff fffff 3x cm fffff

Algebra ->  Formulas -> SOLUTION: The perimeter of a rectangle is 24 cm. Find the value of x. length is 3x cm. and width is 3 cm. what is the answer please. 3 cm fffff fffff fffff 3x cm fffff       Log On


   

Question 112250: The perimeter of a rectangle is 24 cm. Find the value of x.
length is 3x cm. and width is 3 cm.
what is the answer please.

3 cm
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the perimeter of a rectangle is P=2W%2B2L


24=2%283%29%2B2%283x%29 Plug in the given perimeter, length and width


24=6%2B6x Plug in the given perimeter, length and width



0=6%2B6x-24Subtract 24 from both sides


-6x=6-24 Subtract 6x from both sides


-6x=-18 Combine like terms on the right side


x=%28-18%29%2F%28-6%29 Divide both sides by -6 to isolate x



x=3 Divide

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Answer:
So our answer is x=3


3%2A3=9 Now plug in x=3 into 3x


So the width is 9

Check:

P=2W%2B2L Start with the given formula


24=2%289%29%2B2%283%29 Plug in P=24, W=9 and L=3


24=18%2B6 Multiply


24=24 Add. Since both sides are equal, our answer is verified.