Let x and y be width and length of the plot to be fenced. Therefore,
Area (A) = xy m^2
If the side bordering the river is x, then
Circumference (C) = 8500 = x+2y => x = 8500-2y
Substituting for w in the equation for A;
A = (8500-2y)y = 8500y -2y^2
For maximum area, derivative of A with respect to y is 0. That is;
dA/dy = 0 = 8500 -4y => 4y = 8500 => y = 8500/4 = 2125 m
And, x = 8500-2y = 8500 -2*2125 = 4250 m
Therefore,
One side = 4,250 m and second side = 2,125 m.
Largest area, A = 4250*2125 = 9,031,250 m^2
Math is important to calculate things in our daily lives such as times at the grocery store, work, or a project around the house
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Answer:
Using the relation between angles and sides of any triangle the answer is:
Third option: WX, XY, YW
Step-by-step explanation:
<X=90° (right angle)
<W=51°
<Y=?
The sum of the interior angles of any triangle is 180°, then:
<W+<X+<Y=180°
Replacing the given values:
51°+90°+<Y=180°
141°+<Y=180°
Solving for <Y: Subtracting 141° both sides of the equation:
141°+<Y-141°=180°-141°
<Y=39°
The order of the angles from smallest to largest is:
<Y=39°, <W=51°, <X=90°
The opposite sides to these angles must be ordered in the same way:
Opposite side to <Y: WX
Opposite side to <W: XY
Opposite side to <X: YW
Then the order of the sides from smallest to largest is:
WX, XY, YW
Answer:
d = - 3
Step-by-step explanation:
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