What is the maximize the area of a rectangular patio?

I have 400 feet of lumber to frame a rectangular patio. I want to maximize the area of the patio. What should the dimensions of th patio be. Show how the maximum area of patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.

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Assume the sides of the patio is x ...

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The solution explains how to maximize the area of a rectangular patio when the perimeter is fixed using the vertex form in detail. This solution is provided in an attached Word file.

If John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximizethearea of his patio (area of a rectangle is length times width). What should the dimensions of the patio be? How do I set up this equation?

Amanda has 300 feet of lumber to frame a rectangular patio. She wants to maximizethearea of her patio. What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation by using the vertex form to find the maximum. Show the work when computing this equation.

John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximizethearea of his patio (area of a rectangle is length times width). What should the dimensions of the patio be?

I am building a rectangular studio on south side of house, so that the north side of the studio will be a portion of the currrent south side of the house.
The studio walls are 2 feet thick, and the studio's inside south wall is twice as long as its inside west wall.
Also, I am building a semicircular patio around the st

(1) Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
?16 represents ½g, the gravitational pull due to gravity (measured in feet per seco

Jason plans to fence a rectangulararea with 120 m of fencing. Allowing w to be width and l to be length of our rectangulararea, we have, therefore,
perimeter = 2w + 2l = 120, or
l = 60 - w.
Knowing that our area A is wl, or
A = w(60-w),
what selection of width w will maximize our area A?

1) Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks:
a) Solve by factoring.
b) Solve by using the quadratic formula.
2) For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
b) What is the equation for the

A farmer has 480 meters of fencing. He wishes to enclose a rectangular plot of land and to divide the plot into three equal rectangles with two parallel lengths of fence down the middle. What dimensions will maximizethe enclosed area? Be sure to verify that you have found the maximum enclosed area.

1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:
a) Solve by factoring.
b) Solve by completing the square.
c) Solve by using the quadratic formula.
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
b) What is the equ