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lara31 [8.8K]
3 years ago
12

3x - 5 2x + Find the perimeter

Mathematics
1 answer:
taurus [48]3 years ago
3 0
110 cm hopes this helps
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QUADRATIC FUNCTIONS AND EQUATIONS

Danielle N. asked • 11/25/17

You have 356 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

(Hint: Write formula for area as a quadratic function of length and use the concept of maximum value of quadratic function)

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2 Answers By Expert Tutors

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Michael J. answered • 11/25/17

TUTOR 5 (5)

Effective High School STEM Tutor & CUNY Math Peer Leader

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Let length = x

Let width = y

Area = xy

Perimeter equation is

2(x + y) = 356

x + y = 178

Substituting the perimeter equation in the area formula,

Area = x(178 - x)

Area = -x2 + 178x

If the zeros of this quadratic are 0 and 178, then the median is where the maximum area occurs.

178 / 2 = 89

Therefore, the dimensions are

length = 89 feet

width = 178 - 89 = 89 feet

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