3 years ago

Problem that compares and 0.29

1 answer:

7 0

Harold Had Bought Two Ropes. The green rope was 0.29 m. and the blue one was 0.4 m. He Wanted To Give His Best Friend Harry The Longer One. Which Rope Should Harold give Harry?

(This Is An Example You Are Allowed To Use)

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

Murrr4er [49]

Answer:

$A = 781250\,m^{2}$ , $x = 625\,m$ , $y = 1250\,m$

Step-by-step explanation:

The perimeter covered by the electric fence in meters is:

$2\cdot x + y = 2500$

The area of the rectangle is:

$A = x\cdot y$

$A = x \cdot (2500-2\cdot x)$

Let differentiate the previous equation and equates to zero:

$2500-4\cdot x = 0$

The critical point is:

$x = 625\,m$

By the Second Derivative Text, it is proved that critical point lead to a maximum:

$\frac{d^{2}A}{dx^{2}} = -4$

The other side of the rectangle is:

$y = 1250\,m$

The largest area than can be enclosed is:

$A = (625\,m)\cdot (1250\,m)$

$A = 781250\,m^{2}$

The dimensions of the triangle are:

$x = 625\,m$

$y = 1250\,m$

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Step-by-step explanation:

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