Question 821865: The length of a garden is 20 yards more than its width. The area is 399 square yards. What are the dimensions? This is on a worksheet but my teacher didn't yeah us how to do theis. Help?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
L = w + 20
Lw = 399
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Lw = 399
(w + 20)w = 399
ww + 20w - 399 = 0
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the above quadratic equation is in standard form, with a=1, b=20, and c=-399
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 20 -399
into this solver: 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 = 12.3383079
w = -32.3383079
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negative width doesn't make sense, so use the positive root
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w = 12.3383079 yrd
L = 32.3383079 yrd
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