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alcott1110
08.11.2020 •
Mathematics
Mike wants to put 150 square feet of artificial turf in his front yard. This is the maximum area
of artificial turf allowed by his homeowners association. He wants to have a rectangular area
of turf with length one foot less than 3 times the width. Find the length and width. Round to
the nearest tenth of a foot.
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Ответ:
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
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