SOLUTION: A rectangle's length is 8 cm more than three times its width. If the perimeter is 128 cm, find the length and width.

Question 552914: A rectangle's length is 8 cm more than three times its width. If the perimeter is 128 cm, find the length and width.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Width = w=?
Length = l=(3w+8)cm
Perimeter = p = 128cm

Perimeter of a Rectangle = length + length + width + width
Perimeter of a Rectangle =2 length +2 width
P = 2l +2 w
128=2(3w+8)+2w
128=6w+16+2w
128-16=8w
112=8w
112/8=8w/8
14=w
w=14

Width = w= 14cm
Length = l=(3w+8)=3(14)+8 = 42+8 = 50cm

RELATED QUESTIONS
A rectangle�s length is 8 cm more than three times its width. If the perimeter is 128 cm, (answered by checkley77)

a rectangle's length is 8 cm more than three times its width. If the perimeter is 128 cm, (answered by macston)

The length of a rectangle is 8 cm more than its width. If its perimeter is 56 cm, find... (answered by oscargut)

The length of a rectangle is 8 cm more than two times the width. If the perimeter of the... (answered by ewatrrr)

The length of a rectangle is 3 m more than twice its width. If the perimeter of the... (answered by TimothyLamb)

The length of a rectangle is 2 cm longer than its width. If the perimeter of the... (answered by ikleyn)

The length of a rectangle is 4 cm more than twice its width. If the perimeter of the... (answered by sofiyac)

The length of a rectangle is 2 cm more than twice its width. If the perimeter of the... (answered by ewatrrr)

The length of a rectangle is 3 cm more than twice its width. If the perimeter of the... (answered by Cromlix)