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Svetradugi [14.3K]
2 years ago
12

A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos

e an area of 576 ft square, what will the dimensions of the work area?
Mathematics
1 answer:
vova2212 [387]2 years ago
5 0

Answer:

  36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

  w(52 -w) = 576

  w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

  w² -52w +26² = 26² -576 . . . . . .  complete the square

  (w -26)² = 676 -576 = 100

  w = 26 ±√100 =  {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

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MrMuchimi
Hello,

If 1 black shoe is selected from a bin of 6 black shoes and 4 brown shoes and not replaced, then there are 5 black shoes and 4 brown shoes remaining. To find the probability that the a black shoe will be selected out of 5 black shoes and 4 brown shoes, we divide the number of black shoes over the total number of shoes (Each selection of a shoe is independent).

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