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Greeley [361]
3 years ago
5

a rectangular field has an area of 1,764m^2. the width of the field is 13 more then the length. what is the perimeter of the fie

ld?
Mathematics
1 answer:
RSB [31]3 years ago
6 0

13 \times x = 1764

x =  \frac{1764}{13}

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You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surroun
KATRIN_1 [288]
<h3>Given</h3>

A regular polygon with area 500 ft² and apothem 10 ft

Cost of fence is $7.95 per ft

<h3>Find</h3>

Part III The cost of fence around an area scaled to 60 times the size

<h3>Solution</h3>

You don't want to think too much about this, because if you do, you find the regular polygon has 3.087 sides. The closest approximation, an equilateral triangle, will have an area of 519.6 ft² for an apothem of 10 ft.

For similar shapes of scale factor "s", the larger shape will have an area of s² times that of the smaller one. Here, it appears the area scale factor s² is 60, so the linear scale factor is

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... s = √60 ≈ 7.7460

The perimeter fence of the 500 ft² area is presumed to be 100 ft long (twice the area of the polygon divided by the apothem—found in Part I), so the perimeter fence of the industrial farm is ...

... (100 ft)×7.7460 = 774.60 ft

and the cost to construct it is

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2 years ago
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