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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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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