Question 823818: Bob has 50 feet of fencing to enclose a rectangular garden. If one side of the garden is x feet long, he wants the other side to be (25 – x) feet wide. What value of x will give the largest area, in square feet, for the garden?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
a = x(25 - x)
---
50 = 2x + 2y
2y = 50 - 2x
y = (50 - 2x)/2
y = 25 - x
---
x(25 - x)
a = -xx + 25x
---
the above quadratic equation is in standard form, with a=-1, b=25, and c=0
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-1 25 0
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic vertex is a maximum at: ( x= 12.5, a= 156.25 )
---
answer:
the maximum area is 156.25 sq.ft when the sides are:
length = 12.5 ft
width = 12.5 ft
---
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
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
|
|
|
