SOLUTION: The lenght of a rectangle is one less than twice the width. If its perimeter is 34", what are the dimensions ?

Question 415343: The lenght of a rectangle is one less than twice the width. If its perimeter is 34", what are the dimensions ?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
(1) 2l + 2w = 34, where l = length, w = width
(2) 2w - 1 = l, which states that the length is ONE less than TWICE the width
From (2), 2w = l + 1
Substituting into (1) gives 2l + l + 1 = 34, or 3l + 1 = 34
Solving for l gives l = 11.
Using (2), 2w - 1 = 11, or w = 12/2 = 6.
Answers: length = 11, width = 6
RELATED QUESTIONS
the width of a rectangle is 3 inches less than twice its lenght. If perimeter of the... (answered by checkley77)

Geometry. The lenght of a rectangle is 2 in. more than twice its width. If the perimeter... (answered by rapaljer)

The length of a rectangle is 6 inches less than twice the width. If the perimeter of the... (answered by ReadingBoosters)

The width of a rectangle is 15 less than twice its length. If the perimeter of the... (answered by MathLover1,josgarithmetic,MathTherapy)

Find the lenght of a rectangle if its width is 13 less than the lenght and its perimeter... (answered by TimothyLamb)

The lenght of a rectangle is 2 in. more than twice its width.if the perimeter of the... (answered by aaaaaaaa)

The lenght of a rectangle is 6 more feet than twice the width. If the perimeter is 24... (answered by Electrified_Levi)

The lentgh of a rectangle is 2in. more than than twice its width . If the perimeter of... (answered by nadinadan)

The length of the rectangle is one meter less than twice its width. What are the... (answered by rfer)