SOLUTION: A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden?

Question 456776: A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden?
---
Sketch a picture of a rectangle inside a rectangle.
The inner rectangle is the garden.
Its area is W(W+6) = w^2+6w
----
The area of the larger ractangle = (W+6)(W+12) = w^2+18W+72
-----
Area of the walkway = w^2+18w+72-(w^2+6w) = 216
12W+72 = 216
12W = 144
Width of the garden = 12 ft.
Length of the garden = 18 ft.
================================
Cheers,
Stan H.

RELATED QUESTIONS
The Length of Hillcrest Garden is 6 feet more than its width. A walkway 3 feet wide... (answered by checkley77)

A circular garden with a circumference of 80 feet is surrounded by a walkway by a patio... (answered by richwmiller)

a square garden has a walkway 3 feet wide around its corner edge. If the area of the... (answered by ikleyn,josgarithmetic)

A garden is rectangular with a width of 12 feet and a length of 6 feet. If it is... (answered by josgarithmetic)

a rectangular garden has an 8ft walkway around it. How many more feet is the outer... (answered by mananth)

Area: A garden is rectangular with a width of 8 feet and a length of 18 feet. If it is... (answered by ikleyn,addingup,MathTherapy)

A garden is rectangular with a width of 10 feet and a length of 12 feet. If it is... (answered by mananth)

A circular garden is bordered by a walkway. The radius of the garden is 6 feet, and the... (answered by ewatrrr)

A square garden has a walkway 3 ft wide around its outer edge.If the area of the entire... (answered by math_tutor2020,ikleyn)