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 А %3D (х — 20)(у - 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
Section4.4: Complex And Rational Zeros Of Polynomials
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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 rect-
angular lot shown in the following figure is given by
А %3D (х — 20)(у - 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 А %3D (х — 20)(у - 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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