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3 years ago

Imagine you had 40 one-metre sections of fencing.

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer: If I’m not mistaken, the largest area is 75 m2 and the smallest is 2 m2

Step-by-step explanation:

For both : since they are asking for the area, you should calculate the perimeter.

So for the largest area, since you know that you have 40 fences, and each are 1 meter long, and they’re also asking for the largest rectangular area, this means that only the opposite sides will have the same length, so in order to divide the rectangle with the 40 one-meter fences, the biggest sides have to be 15 meters long (so for both : 15x2=30 meters). Then you deduct from 40, 30 : 40-30 = 10 which then you can devide by 2 and find 5 + 5 and that means that the 2 smallest sides will be 5 meters long each. Then finally to calculate the perimeter you should do the biggest side multiplied by the smallest side : 15 x 5 and you find 75 m2 (squaremeters), if I’m not mistaken.

And for the smallest area you take the smallest possibilities knowing that only the opposite sides should have the same length and not all of them, so you do 1 x 2 and you find 2 m2.

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Helen [10]

Answer:

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3 years ago

Dwayne starts assembling marketing packets at 11 a.m. Ashlie starts assembling marketing packets at 11:30 a.m. and assembles at

musickatia [10]

Answer:

Option A = 75 is the best option

Step-by-step explanation:

It took Ashlie 2.5 hours (11:30 am - 2pm) to assemble the marketing packets

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Thus, option A = 75 is the best option

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3 years ago

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jolli1 [7]

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Step-by-step explanation:

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3 years ago

A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rat

Mandarinka [93]

Recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\
&------&------&------\\
Upstream&20&b-c&4\\
Downstream&32&b+c&4
\end{array}
\\\\\\
\begin{cases}
20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\
32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\
--------------------\\
8=\left(\boxed{5+c} \right)+c
\end{cases}
\\\\\\
8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c$

what's the speed of the boat? well, 5 + c = b.

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Natasha2012 [34]

<em>I hope this helps you!</em>

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