Problema Solution
Could possibly solve this problem? A gardner has 97 feet of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it.
If the length of the garden is to be twice its width, what will be the dimensions of the garden? length = feet, width= feet
Answer provided by our tutors
let
l = the length of the garden
w = the width of the garden
b = 2 ft border
P = 97 ft the fencing
the length of the garden is to be twice its width
l = 2w
the perimeter around the garden including the border is P = 97 ft
2(l+2b + w + 2b) = 97
plug l = 2w into the last equations
2(2w + 2*2 + w + 2*2) = 97
by solving we find
w = 13.5 ft
click here to see the step by step solution of the equation
l = 2*13.5
l = 27 ft
length = 27 feet
width= 13.5 feet