SOLUTION: Patricia wishes to have a rectanglar garden in her backyard. She has 80 ft of fencing with which to enclose her garden. Letting x denote the width of the garden, find a function f

Algebra.Com
Question 640294: Patricia wishes to have a rectanglar garden in her backyard. She has 80 ft of fencing with which to enclose her garden. Letting x denote the width of the garden, find a function f in the variable x giving the area of the garden. What is its domain?
Answer by sachi(548)   (Show Source): You can put this solution on YOUR website!
width=x
perimeter=80
or 2(x+l)=80
so l=length=40-x
so the area=x(40-x)
the area can never be 0
x(40-x)>0
this gives the domain as 0
RELATED QUESTIONS

3. A man wishes to have a rectangular shaped garden in his backyard. He has 84 feet of... (answered by ikleyn,josmiceli)
My teacher is building a garden in her backyard. She has 90 ft of fencing to surround it. (answered by josmiceli)
A determined gardener has 110 ft of deer-resistant fence. She wants to enclose a... (answered by josgarithmetic,solver91311)
A determined gardener has 100 ft of deer-resistant fence. She wants to enclose a... (answered by Boreal)
a gardener has 120 ft of deer resistant fence. She wants to enclose a rectangular... (answered by edjones)
Mrs. Hool is planting a garden in her backyard this summer. It must be fenced in to keep... (answered by ikleyn)
a backyard farmer wants to enclosed a rectangular space for a new garden withen her... (answered by greenestamps)
Jane has 64 feet of flexible plastic fence to enclose a garden. She wants to make either... (answered by Alan3354)
A woman wishes to enclose a rectangular garden with​ fencing, using the side of her... (answered by josgarithmetic)