SOLUTION: The length and width of a rectangle are represented as consecutive integers, the perimeter of the rectangle is 70. How do you find the length and width? Thank you.

Question 242764: The length and width of a rectangle are represented as consecutive integers, the perimeter of the rectangle is 70. How do you find the length and width?
Thank you.
Found 2 solutions by user_dude2008, solver91311:
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
L: Length ---> L=W+1
W: Width

P=2L+2W ----> 70=2(W+1)+2W

70=2W+2+2W
70=4W+2
68=4W
W=68/4
W=17 <------------ Width is 17
L=W+1=17+1=18 <--- Length is 18
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the width. Then the length, because it is a consecutive integer, must be -- because you always add 1 to find the next consecutive integer.

The perimeter of a rectangle is given by:

But since we have established a relationship between the length and the width, we can express the perimeter as a function of the width:

Since we are given that the perimeter is equal to 70, we can write:

Now all you need to do is solve for to get the width, and then add 1 to get the length.

John

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