Explanation Given: The length of the metal is 5 in. longer than its width. Definition used: Standard quadratic equation : “An equation in which the variable appears to the second power, but to no higher power, is called a quadratic equation. A standard quadratic equation can be expresses as, a x 2 ︸ + b x ︸ + c ︸ = 0 ↓ ↓ ↓ [ x 2 -term ] [ x -term ] [ Constant term ] That is every quadratic equation must have x 2 -term, but the x -term or constant tem may be missing.” Procedure used: 1. Identify the values of a , b and c by comparing the given equation with the standard quadratic equation a x 2 + b x + c = 0 . 2. Substitute the values of a , b and c into the quadratic equation formula x = − b ± b 2 − 4 a c 2 a . 3. Simplify the equation for x . 4. Check the solution by back substituting the values of x in the original equation. Calculation: Consider l and w as the length and width of the rectangular metal, respectively. Note that the area of a rectangle is l w . Given area of the rectangular metal is 374 sq. in and length is 20 more than the width. That is, l = 5 + w . Now substitute l = 5 + w in area as follows. A = l w 374 = ( 5 + w ) w 374 = 5 w + w 2 w 2 + 5 w − 374 = 0 Step 1: Identify the values of a , b and c by comparing the given equation with the standard quadratic equation a w 2 + b w + c = 0

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

11th Edition

ISBN: 9780134756967

Author: Hal Saunders, Robert Carman

Publisher: PEARSON

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Chapter 11.2, Problem 5CE

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To find: The dimension of a rectangular piece of sheet that provides an area of 374 sq in.

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Chapter 11.2, Problem 4CE

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Chapter 11 Solutions

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

Ch. 11.1 - Simplify: 2(3 + 2y) 3y Ch. 11.1 - Prob. 2LC Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 5AE Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 7AE Ch. 11.1 - Solve each of the following systems of equations...

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The dimension of a rectangular piece of sheet that provides an area of 374 sq in.

Solution Summary: The author analyzes the dimensions of a rectangular piece of sheet that provides an area of 374 sq in.

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To find: The dimension of a rectangular piece of sheet that provides an area of 374 sq in.

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Chapter 11 Solutions