SOLUTION: The area of a rectangular room is 399 sq. ft.
Its length is 5.3 ft greater than its width.
Find the dimensions of the room.
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Question 824150: The area of a rectangular room is 399 sq. ft.
Its length is 5.3 ft greater than its width.
Find the dimensions of the room.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = y + 5.3
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xy = 399
(y + 5.3)y = 399
yy + 5.3y - 399 = 0
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the above quadratic equation is in standard form, with a=1, b=5.3, and c=-399
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 5.3 -399
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
y = 17.5
y = -22.8
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negative length doesn't make sense for this problem, so use the positive root:
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answer:
y = width = 17.5 ft
x = length = 22.8 ft
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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