SOLUTION: One side of this rectangle has a length of 12cm. The other side has a length of 2x+1 cm. The perimeter of the rectangle is 46 cm. Find the length of the unknown sides.

Question 111579: One side of this rectangle has a length of 12cm. The other side has a length of 2x+1 cm. The perimeter of the rectangle is 46 cm. Find the length of the unknown sides.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember the perimeter of a rectangle is . Since we know the length is 12, the width is 2x+1, and the perimeter is 46, we can plug this info into the formula

Multiply

Distribute

Combine like terms on the right side

Subtract 46 from both sides

Subtract 4x from both sides

Combine like terms on the right side

Divide both sides by -4 to isolate x

Divide

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Answer:
So our answer is

Now plug this into 2x+1

So this means the width is 11

Check:

2(12)+2(11)=24+22=46...works
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