SOLUTION: The width of a rectangular garden is 3yd more than twice its width. The perimeter of the rectangle is 36yd. What are the width and the length? Any assistance is appreciated.

Question 160723This question is from textbook
: The width of a rectangular garden is 3yd more than twice its width. The perimeter of the rectangle is 36yd. What are the width and the length?
Any assistance is appreciated. I am the dad and if I can see how this one is done I can figure out the rest. Thank you! This question is from textbook

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The length of a rectangular garden is 3yd more than twice its width. The perimeter of the rectangle is 36yd. What are the width and the length?
.
Let w = width
from "The length of a rectangular garden is 3yd more than twice its width." we get:
w+3 = length
.
Since:
length+length+width+width = perimeter
2length+2width = perimeter
2(length+width) = perimeter
.
substituting in our variables and info:
2(length+width) = perimeter
2((w+3)+w) = 36
2(w+3+w) = 36
2(2w+3) = 36
2w+3 = 18
2w = 15
w = 7.5 yards (width)
.
length:
w+3 = 7.5+3 = 10.5 yards (length)

RELATED QUESTIONS
The length of a rectangle garden is 3yd more than twice its width. The perimeter of the... (answered by mananth)

The length of the rectangle garden is 3yd more than twice its width. The perimeter of the (answered by checkley75)

The length of a rectangle is 3yd more than twice its width, and the area of the rectangle (answered by checkley77)

The perimeter of a rectangular garden is 30 meters. The length of the garden is 3 more... (answered by stanbon)

the length of a rectangular garden is 3 yd more than twice its width. the perimeter of... (answered by scott8148)

The length of a rectangular garden is 3 yards more than twice its width. The perimeter... (answered by checkley77,jojo14344)

The length of a rectangular garden is 3 yd more than twice its width. The perimeter of... (answered by rfer)

The length of a rectangular garden is 3 yd. more than twice its width. The perimeter of... (answered by College Student)

the length of a rectangular garden is 3 yards more than twice its width. the perimeter of (answered by solver91311)