SOLUTION: Rectangular notepad: The length of a rectangular notepad is 2 cm longer than twice the width. If the perimeter is 34 cm, then what are the length and width?

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Question 78828This question is from textbook
: Rectangular notepad: The length of a rectangular notepad is 2 cm longer than twice the width. If the perimeter is 34 cm, then what are the length and width? This question is from textbook

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
From the given information, you may write an equation for the length in terms of the width as follows:
Equation #1: l=2w%2B2
You also know the perimeter, so you may write an equation for that in terms of l and w:
Equation #2: 2l%2B2w=34
Now you have 2 equations and two unknowns. That means you can solve for the two unknowns. First substitute your value of l in Equation #1 into Equation #2:
2%282w%2B2%29%2B2w=34
And solve for w:
4w%2B4%2B2w=34
6w=30
w=5cm
Now that you know the value of w, you can substitute that value back into Equation #1 and solve for l. I will leave that part of the problem up to you.
Good Luck,
tutor_paul@yahoo.com