(a) Answer A ( x ) = x ( 120 − 2 x ) Explanation Given: A farmer is building a rectangular pen along the side of a barn for animals. The barn will serve as one side of the pen. The farmer has 120 feet of fence to enclose an area of 1512 square feet and wants to each side of the pen to be at least 20 feet long. Let one side be x feet and another side 120- 2x. Let the length of pen = x feet Let the width of pen = ( 120 − 2 x ) feet Area of pen, A ( x ) = x ( 120 − 2 x ) (b) To determine To solve: The equation that represents the area of the pen and find the dimension of pen. Answer 42 feet by 36 feet Explanation Given: A farmer is building a rectangular pen along the side of a barn for animals. The barn will serve as one side of the pen. The farmer has 120 feet of fence to enclose an area of 1512 square feet and wants to each side of the pen to be at least 20 feet long. Let one side be x feet and another side 120- 2x. Let the length of pen = x feet Let the width of pen = ( 120 − 2 x ) feet Area of pen, A ( x ) = x ( 120 − 2 x ) Area of pen A ( x ) = 1512 x ( 120 − 2 x ) = 1512 − 2 x 2 + 120 x = 1512 x 2 − 60 x + 756 = 0 x = 18 , 42 But the side of pen at least 20 feet long. So, ignore the value 18. Dimension of pen 42 feet by 36 feet.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.3, Problem 68E

(a)

To determine

To write: The equation that represents the area of the pen.

(a)

Expert Solution

Answer to Problem 68E

A(x)=x(120−2x)

Explanation of Solution

Given: A farmer is building a rectangular pen along the side of a barn for animals. The barn will serve as one side of the pen. The farmer has 120 feet of fence to enclose an area of 1512 square feet and wants to each side of the pen to be at least 20 feet long.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.3, Problem 68E , additional homework tip 1

Let one side be x feet and another side 120- 2x.

Let the length of pen =x feet

Let the width of pen =(120−2x) feet

Area of pen, A(x)=x(120−2x)

(b)

To determine

To solve: The equation that represents the area of the pen and find the dimension of pen.

(b)

Expert Solution

Answer to Problem 68E

42 feet by 36 feet

Explanation of Solution

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.3, Problem 68E , additional homework tip 2

Let one side be x feet and another side 120- 2x.

Let the length of pen =x feet

Let the width of pen =(120−2x) feet

Area of pen, A(x)=x(120−2x)

Area of pen A(x)=1512

x(120−2x)=1512−2x2+120x=1512x2−60x+756=0x=18,42

But the side of pen at least 20 feet long.

So, ignore the value 18.

Dimension of pen 42 feet by 36 feet.

Chapter 3.3, Problem 67E

Chapter 3.3, Problem 69E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

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