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DiKsa [7]
3 years ago
5

You have 100 yards of fencing available to create an enclosure for farm animals. As the

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
1. area of a pentagon when 1 side is x is \frac{x^2}{4}\sqrt{5(5+2\sqrt{5})}
so if perimiter is 100 then one side is 100/5 or 20
area will be \frac{20^2}{4}\sqrt{5(5+2\sqrt{5})}≈<span>688.2 square yards

2. area of a hexagon when 1 side is length x is \frac{3x^2\sqrt{3}}{2}
so if permiter is 100 then length of one side is 100/6 or about 16.666666666666
the area will be \frac{3(16.6666666)^2\sqrt{3}}{2}≈721.7 square yards

3. area of a regular octagon with side lenghts x is 2(1+\sqrt{2})x^2
so if 8 sides then side length of each is 100/8 or 12.5
area will be 2(1+\sqrt{2})12.5^2≈754.4 square yards


octagon wil have most space
you can tell because the more sides it has, the more it gets to a circle and the more area it encloses with a given perimiter
</span>
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the complete question is
<span>Julia owes her dad $12. She wants a new blouse that just went on sale, so she borrows $20 from her sister. She pays her father $5 and spends the rest on the blouse. Which statement is true?
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B.</span> Julia’s money status is –$7 because she started at –$12, got $20, but only paid $5 of her debt.<span>
C.</span> Julia’s money status is –$27 because she started at –$12, borrowed $20, but paid off $5.<span>
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