SOLUTION: The length of a rectangle is 3 inches less than 4 times its width. The area of the rectangle is 7 sq. inches. Find the dimensions of the rectangle

Question 830356: The length of a rectangle is 3 inches less than 4 times its width. The area of the rectangle is 7 sq. inches. Find the dimensions of the rectangle

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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y = 4x - 3
xy = 7
x(4x - 3) = 7
4xx - 3x - 7 = 0
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the above quadratic equation is in standard form, with a=4, b=-3, and c=-7
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
4 -3 -7
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 1.75
x = -1
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the negative root doesn't fit the problem statement, so use the positive root
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x = 1.75 in
y = 4(1.75) - 3
y = 4 in
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answer:
x = width = 1.75 in
y = length = 4 in
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