SOLUTION: The area of a rectangle is 70 square feet. If the length is four more than twice the width, find the dimensions of the rectangle.

Question 819977: The area of a rectangle is 70 square feet. If the length is four more than twice the width, find the dimensions of the rectangle.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
Lw = 70
L = 2w + 4
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Lw = 70
(2w + 4)w = 70
2ww + 4w - 70 = 0
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the above quadratic equation is in standard form, with a=2, b=4, and c=-70
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to solve the quadratic equation, by using the quadratic formula, plug this:
2 4 -70
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 = 5
w = -7
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answer:
w = 5 ft
L = 14 ft
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
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