90. Building Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area (or building envelope) for the rect- angular lot shown in the following figure is given by A = (x – 20)(y – 20) (a) Explain how the expression for A is obtained. (b) Expand to express A as a polynomial in x and y. (c) A contractor has a choice of purchasing one of two rect- angular lots, each having the same area. One lot mea- sures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope? y 10 ft + 10 ft Building envelope

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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90. Building Envelope The building code in a certain town
requires that a house be at least 10 ft from the boundaries of
the lot. The buildable area (or building envelope) for the rectangular lot shown in the following figure is given by

90. Building Envelope The building code in a certain town
requires that a house be at least 10 ft from the boundaries of
the lot. The buildable area (or building envelope) for the rect-
angular lot shown in the following figure is given by
A = (x – 20)(y – 20)
(a) Explain how the expression for A is obtained.
(b) Expand to express A as a polynomial in x and y.
(c) A contractor has a choice of purchasing one of two rect-
angular lots, each having the same area. One lot mea-
sures 100 ft by 400 ft; the other measures 200 ft by
200 ft. Which lot has the larger building envelope?
y
10 ft
+ 10 ft
Building
envelope
Transcribed Image Text:90. Building Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area (or building envelope) for the rect- angular lot shown in the following figure is given by A = (x – 20)(y – 20) (a) Explain how the expression for A is obtained. (b) Expand to express A as a polynomial in x and y. (c) A contractor has a choice of purchasing one of two rect- angular lots, each having the same area. One lot mea- sures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope? y 10 ft + 10 ft Building envelope
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