Explanation Given information: The rectangle, Concept used: The area of a rectangle is the product of its length and width. That is, Area of rectangle = Length × Width Calculation: The area of the rectangle is given as 5 x 5 − 5 x 2 square units and width of the rectangle is 5 x 2 units. So in order to find the expression for the length of the rectangle, we will factor the area expression and rewrite it as a product of the width and length. To factor the area binomial, first we rewrite each term of the binomial as a product of prime factors and identify the largest factor that is common in all terms. Then we factor out the GCF from each term by writing each term as a product of the GCF and the term’s remaining factors inside a parenthesis. The GCF of 5 x 5 and − 5 x 2 is 5 x 2 . So we will factor out the GCF, 5 x 2 from each term and write the remaining factors of each term as a product of this GCF

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ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 13.1, Problem 114ES

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An expression for the length of the given rectangle.

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Chapter 13.1, Problem 113ES

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EBK ALGEBRA FOUNDATIONS

Ch. 13.1 - Prob. 1VRVC Ch. 13.1 - Prob. 2VRVC Ch. 13.1 - Prob. 3VRVC Ch. 13.1 - Prob. 4VRVC Ch. 13.1 - Prob. 5VRVC Ch. 13.1 - Prob. 6VRVC Ch. 13.1 - Prob. 1ES Ch. 13.1 - Prob. 2ES Ch. 13.1 - Prob. 3ES Ch. 13.1 - Prob. 4ES

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An expression for the length of the given rectangle.

Solution Summary: The author explains that the area of a rectangle is the product of its length and width.

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