SOLUTION: I need help on this following problem: The length of a rectangle measures 1 cm less than its width. The perimeter of the rectangle is 106 cm. Find the dimensions of the rectangle.

Question 942345: I need help on this following problem: The length of a rectangle measures 1 cm less than its width. The perimeter of the rectangle is 106 cm. Find the dimensions of the rectangle. Now i have tried to solve this problem in multiple attempts as can be seen here: 54+53=107, 53+52=105, 48+49=97, 50+49=99. Can you please help me solve this or solve it for me please!! Either choice is appreciated :)
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Guess-and-check is usually not the most efficient algorithm.

Also, the perimeter is twice the sum of length and width, i.e. P = 2(L+W).

Let W be the width, in cm. Its length is 1 cm less than the width, so L = W-1. Plugging in, we have 106 = 2((W-1)+W) = 2(2W-1) = 4W-2. Adding 2 to both sides, 108 = 4W. Dividing by 4, W = 27. The width is 27 cm and the length is 26 cm.
RELATED QUESTIONS
I need help with system of equations, I have a question on my homework it is, "A... (answered by mananth)

I really need your help with this problem "The length of a rectangle is 2 cm less than... (answered by mbarugel)

Can someone help me on this problem? The length of a rectangle is 2 cm more than... (answered by Cintchr)

The width (w) of a rectangle is two less than 1/3 of its length (l). If the perimeter is (answered by josgarithmetic,MathTherapy)

Hi! I really need some help with this problem I've been stuck on. The length of a... (answered by solver91311,Cromlix)

Can someone help me on this problem? I need to solve the following problem and show... (answered by hayek)

Hello, I need help with this word problem: The length of a rectangle is 5 less... (answered by praseenakos@yahoo.com)

The length of a rectangle is 7.6 cm more than 3 times the width. If the perimeter of the... (answered by unlockmath)

Find the perimeter of a rectangle whose length is 5 cm less than twice its width. Its... (answered by checkley77)