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maxonik [38]
3 years ago
9

Carl is making a rectangular dog run. He has 36 one-yard sections of fence that he plans to use to keep his dog inside. He wants

the run to be as long as possible. What is the longest whole number length he can use fo the run?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer: 17 Yards Long

Step-by-step explanation: If the run is 1 section wide at each end, that would leave 34 for each 1 yard section for the lengths needed. So, 34 / 2 = 17 sections in length. You could also do it like this 17 + 1 + 17 + 1 = 36 for a simpler calculation.  

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Paha777 [63]

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The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6.  If we divide this vertically we get two congruent triangles of height 3 and base 3.  Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles:  (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid.  Its base is 4.  Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle.  Using the Pythagorean Theorem, we get

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4 0
3 years ago
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