SOLUTION: The perimeter of a rectangle is 82 cm. If the length of the rectangle is 6 more than 4 times the width, what are the dimensions of the rectangle?

Question 885757: The perimeter of a rectangle is 82 cm. If the length of the rectangle is 6 more than 4 times the width, what are the dimensions of the rectangle?
Answer by soumilaggarwal2001@gmail.com(3) (Show Source): You can put this solution on YOUR website!
Let the width be x.
The the length = 4x+6
The perimeter of a rectangle = 2(l+b)
Here it is equal to 2((4x+6)+x)
=2(5x+6)
=10x+12
Now, 10x+12=82
Then, 10x=82-12=70
This implies that, x=70/10=7cm
The width = x = 7cm
The length = 4x+6 = 4*7+6 = 28+6 = 34cm
RELATED QUESTIONS
[ The length of a rectangle is 6 cm more than three times the width. If the perimeter of... (answered by TimothyLamb)

The length of a rectangle is 6 cm more than four times the width. If the perimeter of the (answered by richwmiller)

The length of a rectangle is 6 cm more than two times the width. If the perimeter of the... (answered by checkley77)

the length of a rectangle is 2.8 cm more than 4 times the width. if the perimeter of... (answered by checkley79)

The length of a rectangle is 1 cm more than the width. If the perimeter of the rectangle... (answered by jake_6233)

The perimeter of a rectangle is 114 centimeters. If the ratio of its width to its length... (answered by ankor@dixie-net.com)

The length of a rectangle is 1cm more than the width. If the perimeter of the rectangle... (answered by RM)

The length of a rectangle is 2 cm more than four times the width. If the perimeter of the (answered by user_dude2008)

The length of a rectangle is 9 cm more than four times the width. If the perimeter of the (answered by stanbon)