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Answer :
Final answer:
The width of the rectangular playground is 16 feet. This is determined by subtracting the summed lengths(2*27) from the total perimeter(86) and dividing by 2.
the correct answer is c. 16 feet.
Explanation:
This is a typical application of the perimeter formula for rectangles. The formula is: Perimeter = 2*(Length + Width). Given that the length is 27 feet and the perimeter is 86 feet, you can solve for the width of the playground using this formula.
First, substitute the given values into the formula: 86 = 2*(27 + Width). Then, you divide both sides of the equation by 2 to get 43 = 27 + Width. Finally, you subtract 27 from both sides of the equation to solve for the width. This gives you a width of 16 feet.
So, the correct answer is c. 16 feet.
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