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Andreas93 [3]
3 years ago
5

ustin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he

use? What will be the area of the garden?
Mathematics
1 answer:
Tema [17]3 years ago
5 0

Answer:

I would say that it should be 48 ft long and 46 ft wide, the area would be 2208 square feet

Step-by-step explanation:

I will try my best to answer this.

I would start by dividing 188 by 4

this gives you a 47*47 square

if it needs to be a rectangle I would then make the sides 48, 48, 46, and 46

48*46 would be the dimensions

the area would be 2208 square feet

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Line segment NY has endpoints N(-11, 5) and Y(3,-3).
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Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

m=\dfrac{-4}{7}

Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

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Write the expression in rational exponent form.
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Determine the root by looking at the denominator of the exponent.

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