Problema Solution
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If
280
feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.
The length of the garden is
m feet.
Answer provided by our tutors
Let
l = the length of the rectangular garden, l>0
w = the width of the rectangular garden, w>0
P = 280 ft the perimeter of the rectangular garden
The width is exactly two-thirds of the length:
w = (2/3)l
The perimeter of the garden is:
P = 2(l + w)
2(l + w) = 280
We have the following system of equations:
w = (2/3)l
2(l + w) = 280
........
click here to see all the system of equations solution steps
........
l = 84 ft
w = 56 ft
The length of the garden is 84 feet.
The width of the garden is 56 feet.