SOLUTION: the length of a rectangle is 11 centimeters less than three times its width. its area is 42 square centi find the dimensions of the rectangle

Question 819919: the length of a rectangle is 11 centimeters less than three times its width. its area is 42 square centi find the dimensions of the rectangle

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
L = 3w - 11
Lw = 42
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Lw = 42
(3w - 11)w = 42
3ww - 11w - 42 = 0
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the above quadratic equation is in standard form, with a=3, b=-11, and c=-42
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to solve the quadratic equation, by using the quadratic formula, plug this:
3 -11 -42
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
w = 6
w = -2.33333333
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answer:
w = 6 cm
L = 7 cm
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
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