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Lnjayy
28.05.2020 •
Mathematics
The owner of the Rancho Bar X wishes to use 2400 yards of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it into two parts by means of a piece of fencing perpendicular to the riverbank. No fencing is required along the river. What is the largest area that can be enclosed and what are its dimensions
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Ответ:
Step-by-step explanation:
Let length be x and breadth be y .
Along the river no fencing is required so total boundary line of the rectangular land = x + y + y = x + 2y
add divider to it so total length
= x + 2y + y = x + 3y
x + 3y = 2400
area A = xy
y ( 2400 - 3y ) = A
2400y - 3y² = A
For maximum area dA / dy = 0
2400 - 6y = 0
y = 400 yards.
x = 1200 yards
largest area = xy
= 48000 sq yards.
Ответ:
20 pounds divided by $4= 5
Step-by-step explanation: