# A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters

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Expert Answers

lfryerda | Certified Educator

If the width of the rectangle is x and the length of the rectangle is y, then the perimeter of the rectangle is `2(x+y)=30` and the area of the rectangle is `A=xy` . Also, we are told that the length is twice the width, so `y=2x` . This can be substituted into the perimeter equation:

`2(x+y)=30` divide by 2

`x+y=15` sub in `y=2x`

`x+2x=15` simplify left side

`3x=15` divide by 3

`x=5` which means `y=2(5)=10`

**Then the area of the rectangle is `A=5(10)=50` square centimeters.**