To determine To calculate: The dimension of the rectangular flower garden if, the garden designed by Sophia has area of the garden is 96 square feet when its length is 4 feet greater than its width. Explanation Given Information: The area of the garden is 26 square feet when its length is 4 feet greater than width. Formula used: Steps to determine the roots of the given quadratic equation . Step 1 : Compare the given quadratic equation with the standard form a x 2 + b x + c = 0 and note down the values of coefficients a , b and c . Step 2 : Substitute the value of coefficients in quadratic formula x = − b ± b 2 − 4 a c 2 a and solve for x . Calculation: Let the width of the garden be x . Consider that the area of the garden is 26 square feet when its length is 4 feet greater than width which gives, Length equal to x + 4 Area of a rectangular garden is given by the formula to A = l × b . Here, l is length and b is width of the rectangle. Substitute x for b and x + 4 for l in the formula A = l × b . ( x + 4 ) ( x ) = 96 x 2 + 4 x = 96 Convert the equation in standard form by subtracting 96 from both the sides. x 2 + 4 x − 96 = 0 On comparing the equation with the standard form a x 2 + b x + c = 0 . a = 1 , b = 4 , c = − 96 Substitute these values in the quadratic formula

Intermediate Algebra For College Students (10th Edition)

10th Edition

ISBN: 9780134758992

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Chapter 8, Problem 43RE

To determine

To calculate: The dimension of the rectangular flower garden if, the garden designed by Sophia has area of the garden is 96 square feet when its length is 4 feet greater than its width.

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Chapter 8, Problem 42RE

Chapter 8, Problem 44RE

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Chapter 8 Solutions

Intermediate Algebra For College Students (10th Edition)

Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 3ES Ch. 8.1 - Prob. 4ES Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 6ES Ch. 8.1 - Prob. 7ES Ch. 8.1 - Prob. 8ES Ch. 8.1 - Prob. 9ES Ch. 8.1 - Prob. 10ES

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