SOLUTION: The length of a rectangle is a = 3 cm less than twice the width. Express as an integer the maximum width of the rectangle when the perimeter is less than 80 cm. This is what

Question 703964: The length of a rectangle is a = 3 cm less than twice the width. Express as an integer the maximum width of the rectangle when the perimeter is less than 80 cm.

This is what I have:
80=6w-6
+6 +6
86=6w
------
6 6
14.3333333=w
14.33=w
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Always check your answer. If the width is 14.33 then the lenght is 28.66 - 3 or 25.66, then the perimeter is 2*(14.33+25.66) or 80. So your answer is correct.
Let w = the width and
Let a = length
Then, from the problem statement we have
(1) a = 2*w - 3
The perimeter, p, is the sum of the 4 side or
(2) p = 2*a + 2*w or
(3) p = 2*(2*w - 3) + 2*w or
(4) p = 4*w - 6 + 2*w or
(5) p = 6*w - 6
Using the maximum value of p as 80 we have
(6) 6*w - 6 <= 80 or
(7) w <= 86/6 or
(8) w <= 14.33...
Answer: The largest integer value of the width is 14 cm.
RELATED QUESTIONS
The length of a rectangle is a = 2 cm less than twice the width. Express as an integer... (answered by oberobic)

The length of a rectangle is 2 cm less than twice the width. Express as an integer the... (answered by jim_thompson5910)

The length of a rectangle is 2 cm less than twice the width. Express as an integer the... (answered by Theo)

The length of a rectangle is 5 cm less than twice the width. Express as an integer the... (answered by ewatrrr)

The length of a rectangle is a = 3 cm less than twice the width. Express as an integer... (answered by josgarithmetic)

The length of a rectangle is two feet more than three times the width. Express as an... (answered by Fombitz)

The length of a rectangle is 2 ft more than four times the width. Express as an integer... (answered by josmiceli)

The length of a rectangle is 2 ft more than four times the width. Express as an interger... (answered by drk)

The length of a rectangle is 3 less than twice its width. The area of the rectangle is 35 (answered by amarjeeth123,addingup)