SOLUTION: 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 th

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
RELATED QUESTIONS
Bob has 40 feet of fencing to enclose a rectangular garden. If one side of the garden is... (answered by josgarithmetic)

A gardener has 270 feet of fencing and wants to fence in a rectangular garden and then... (answered by josgarithmetic)

Eddie has 12 feet of fencing to enclose a rectangular garden. If the garden�s length is... (answered by Alan3354)

a rectangular garden has width w and length 1.5w. the area of the garden is 216 square... (answered by TimothyLamb)

A woman wishes to enclose a rectangular garden with fencing, using the side of her... (answered by josgarithmetic)

you have 500 feet of fencing to enclose a rectangular garden. you want the length of the... (answered by rfer)

Studying quadratic equations. Can you help with an equation for this word problem?... (answered by TimothyLamb,josgarithmetic)

3. A man wishes to have a rectangular shaped garden in his backyard. He has 84 feet of... (answered by ikleyn,josmiceli)

A gardener wants to use 62 feet of fencing to enclose a rectangular shaped garden. If its (answered by ewatrrr)