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kaileedeacosta1
27.07.2020 •
Mathematics
2) Jeremy needs to build a fence around his pool. The pool and the sidewalk around it have
a distance around 300 feet, so the perimeter of the fence needs to be at least 300 feet. The
length of the fence is four more than two times the width. What is the length and width?
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Ответ:
length = 26.6
width = 11.3
Step-by-step explanation:
1. Set up the equation
(2x + 4)(x) = 300
2. Simplify
2x² + 4x = 300
3. Solve by completing the square
Divide by 2 to make "a" equal to 1
x² + 2x = 150
Find term to complete the square by squaring half of "b"
(2/2)² = 1
x² + 2x + 1 = 150 + 1
Factor perfect square trinomial
√x² + 2x + √1 = 151
(x+1)² = 151
Square root each side
x + 1 = ±12.3
Set up two possibilities and solve
x + 1 = 12.3
x = 11.3
x + 1 = -12.3
x = -13.3
The measurement cannot be negative so width is equal to 11.3
4. Use the width to solve for the length
11.3(2) + 4 = 26.6
Ответ:
B
Step-by-step explanation: