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LiRa [457]
3 years ago
5

You have 500 ft of fencing all rolled up and you want to make a rectangular playground area for your son. What are the dimension

s of the largest playground you could build?
Mathematics
2 answers:
alex41 [277]3 years ago
6 0
The largest area would be a square with 125 ft of fencing on each side.

Hope this helps
bixtya [17]3 years ago
3 0
The answer Fam Is..........Start with the perimeter: 500 = 2*base+2*height 250 = base+height base = 250 - height Therefore: Area = (250-height)*height Area = (250 - height)(height) Area = 250*height - height^2 When the derivative is 0, there is a maximum or a minimum: dA/dh = 250 - 2*height 0 = 250 - 2*height height = 125 To confirm this is a maximum, check that the second derivative is negative: d2A/d2h = -8 Therefore, this is a maximum. height = 125 base = 250 - height base = 125 Largest playground: 125x125
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Ede4ka [16]
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We have two ways to do this, pick your favor:
either by fractions:
\frac{5}{8} ÷ \frac{1}{2}
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Multiply by the reciprocal of \frac{1}{2} which is 2(flip it)

\frac{5}{8} × 2 = \frac{5}{4} = 1.25

Or change them to decimals:
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0.625 ÷ 0.5

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multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
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