landscape calculator
Quadratics – real world application.?
Please offer DETAILED support for your answer, and be neat and easy to follow. Thank you.
Using quadratics, solve this problem:
Landscape Design:
A town is planning a child-care facility. It wants to fence in a rectangular playground using one of the walls of the building. What is the largest playground that can be fenced in using 100 ft of donated fencing?
The book (Florida: Prentice Hall Mathematics, Algebra II) offers a small picture. I will describe it briefly below:
A small playground, featuring dotted lines forming a rectangle. The top and bottem of this aieral few are marked “L (lowercase),” and on the side, the expression: 100 – 2L.
Without using calculator to do diffacult functions, solve, and explain all aspects of this question.
Thank you.
Hi,
X|
X|
X|__L___
X| . . . . .|
X| . . . . .|
X| . . . . .|
X| . . . . .| 100 – 2L
X| . . . . .|
X| . . . . .|
X|______|
X|. . L
X|
The area of a rectangle is A = LW.
In this case, A = L(100 – 2L) or A = 100L – 2L²
The vertex of this equation, which is the high point on the graph, is found at L = -b/(2a) which is L = -(100)/(2*-2) = 25
Then 100 – 2L = 100 – 2(25) = 50
The rectangle is 25 ft x 50 ft <==ANSWER
I hope that helps!! 
Aviassin iCalcy
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