SOLUTION: What is the length of a rectangle that is 6.5 cm wide and has a perimeter of 32 cm?

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Question 217533: What is the length of a rectangle that is 6.5 cm wide and has a perimeter of 32 cm?
Found 2 solutions by rfer, drj:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
(32-13)/2=9.5 cm
P=2w+2l

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What is the length of a rectangle that is 6.5 cm wide and has a perimeter of 32 cm?

Step 1. Perimeter P means adding up all four sides of a rectangle.

Step 2. Let w be the width and L be the length.

Step 3. Then P=w%2Bw%2BL%2BL=2w%2B2L=2%28w%2BL%29

Step 4. But w=6.5 and P=32, then

32=2%286.5%2BL%29=32=13%2B2L

Subtract 12 from both sides of the equation to get only L terms on the right side.

32-13=13%2B2L-13

19=2L

Divide by 2 to both sides of the equation

19%2F2=2L%2F2

L=19%2F2=9.5

Check P=2*(6.5+9.5)=2*16=32 which is a true statement.

Step 5. ANSWER: The length is 9.5 cm.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J