Answer: the width is 29 meters
The length is 35 meters
Explanation:
The garden is rectangular in shape. The width of the garden is 4 meters.
The flower garden is 6 meters longer than it is wide. This means that
Length = width + 6
L = w + 6
The total area is 1015 square meters. The area of a rectangle is expressed as L×W. Therefore
LW = 1015
Substituting L = W + 6 into the above equation,
W(W+6) = 1015
W^2 + 6W - 1015 = 0
W^2 + 35W - 29W - 1015 = 0
W(W+35)-29(W+35) = 0
W-29 = 0 or W + 35 = 0
W= 29 or W = -35
The width cannot be negative, so w = 29
L = w + 6
L = 29 + 6 = 35