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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Remember the perimeter of a rectangle is P=2W%2B2L. 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

46=2%282x%2B1%29%2B2%2812%29


46=2%282x%2B1%29%2B24 Multiply



46=4x%2B2%2B24 Distribute


46=4x%2B26 Combine like terms on the right side


0=4x%2B26-46Subtract 46 from both sides


-4x=26-46 Subtract 4x from both sides


-4x=-20 Combine like terms on the right side


x=%28-20%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=5 Divide

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Answer:
So our answer is x=5

Now plug this into 2x+1

2%285%29%2B1=10%2B1=11

So this means the width is 11

Check:

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