udent/PlayerHomework.aspx?homeworkld-486418158&questionld; 1 College Algebra Mat

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udent/PlayerHomework.aspx?homeworkld-486418158&questionld; 1 College Algebra Math 140 WA SI 18 (1) Homework: Section 3.2 Homework Score: 0 of 1 pt 3.2.137 Citlaly Cardona &1 7/3/18 10:50 AM HW Score: 64.58%,775 of 12 pts EQuestion Help The length of a rectangular air f niter is 2 inches less than twice the width. Find the length and width of the fiter if the area is 760 square inches What are the length and width? (Use a comma to separate answers as needed) Enter vour answer in the answer box and then click Check Answer Clear All All parts showing Terms of Service Privacy Policy Help

Explanation / Answer

Let the width of the rectangle = x

Length = 2x - 2

x(2x - 2) = 760

or, 2x^2 - 2x = 760

or, x^2 - x = 380

or, x^2 - x - 380 = 0

or, x^2 - 20x + 19x - 380 = 0

or, x(x - 20) + 19(x - 20) = 0

or, (x - 20)(x + 19) = 0

x = 20 or x = -19(impossible)

So the width of the rectangle = 20

Length of the rectangle = 2 * 20 - 2 = 38

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