103 with a remainder of 8
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. Hence:
There is 48 feet of fencing:
x + 2y = 48
x = 48 - 2y (1)
The area (A) is:
A = xy = y(48 - 2y)
A = 48y - 2y²
The maximum area is at A' = 0, hence:
48 - 4y = 0
y = 12
x = 48 - 2(12) = 24
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
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Let x+y=10 be equation (1)
and y=x-4 be equation (2)
from (2)
y=x-4...(3)
sub (3) into (1)
x+(x-4)=10
x+x-4=10
2x=12
x=6
sub (x) into (3)
y=6-4
y=2
Answer:
7500
Step-by-step explanation:
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