Geometry Unit 5 Assignment

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BASIS Independent Silicon Valley *

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GEOMETRY

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Mechanical_engineering

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May 27, 2024

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pdf

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Uploaded by JudgeEnergy14073

Geometry Part 2 Unit 5 Assignment Your friend, Ed, wants to build a new fence enclosure for his chihuahua, Scrappy. Below is a diagram of Scrappy’s current enclosure (no gate is necessary since the fence is low enough so that Ed can just place Scrappy inside). Ed has limited his enclosure options to the three fences shown below:
Find the perimeter and area of each fence option to help Ed make his decision. (You might need to use trig ratios). Work must be shown. Fence Enclosure Shape Perimeter Area Triangle P = 30 + 30 +30 P = 90ft Area = √3/4 x (a) squared = √3/4 x (30) squared Area=309.7ft squared Trapezoid P = 10 + 70 + 31.6 + 31.6 P = 143.2ft Area = a+b/2 x 10 = 10+ 70/2 x 10 Area = 400ft squared Hexagon P = 6 x 12 = 42ft Area = p+4/2 = 42 x 16.4 Area = 374.4ft squared Which fence option would cost the most to build? (Be sure to consider fence length and the number of posts). The trapezoid fence would cost the most to build. Which fence option would you recommend to Ed based on cost and the amount of space for Scrappy? Explain your choice. I would recommend the hexagonal fence because its perimeter is small, which means that the cost would be low. Since the area is 374.4ft, then it would be big enough for scrappy.
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