ol is constructing a rectangular play area against an exterior wall of the school building. It uses 120 feet of fencing material to enclose three sides of the play area.   Complete the table by giving the length and area for each width. (The width is the side perpendicular to the building.)   width (feet) length (feet) area (square

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 66E
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A school is constructing a rectangular play area against an exterior wall of the school building. It uses 120 feet of fencing material to enclose three sides of the play area.

 

Complete the table by giving the length and area for each width. (The width is the side perpendicular to the building.)

 
width (feet) length (feet) area (square feet)
10 110 1100
30 90 2700
40 80 3200
ww 120−w w×n

 

 

Part B

Write an equation to represent ll, the length of the play area in feet, as a function of ww, the width in feet.
 
l(w)=w2
 

Part C

Write an equation to represent A, the area in square feet, as a function of ww, the width in feet.
 
 
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