Answer:
Step-by-step explanation:
Area of the rectangular area = Length * width
A = LW ...... 1
If he wants to have a rectangular area of turf with length one foot less than 3 times the width, then
L = 3W - 1 ...... 2
Substitute 2 into 1
A = (2W-1)W
A = 2W^2 - W
Since area = 150sq.ft
150 = 2W^2 - W
2W^2 - W - 150 = 0
Factorize
2W^2 - W - 150 = 0
W = 1±√1+4(300)/2(2)
W = 1±√1201/2(2)
W = 1±34.655/4
W = 35.655/4
W = 8.91375
W = 8.9 (to nearest tenth)
Get the length
L = A/W
L = 150/8.9
L = 16.85
L = 16.6ft
Hence the length is 16.6ft and the width is 8.9ft
