1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sphinxa [80]
3 years ago
15

ms Callahan is building a new dog pen for her dog. she has 24feet of fencing. the pen needs to be a rectangle. what is the lengt

h and width of the diffrent sizes of pens she can make with the amount of fencing
Mathematics
1 answer:
NeX [460]3 years ago
6 0
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet.  The perimeter is basically the distance around a figure.  The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w.  In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.

So, the formula is P=2l+2w.  P, the perimeter, is 24, so 24=2l+2w.  Let's try some values for l and see what we get for w.  If the length is 1, l=1.  24=(2*1)+2w.  24=2+2w.  22=2w.  w=11.  So if length is 1 foot, width is 11 feet.

What if l=2?  24=(2*2)+2w.  24=4+2w.  2w=20.  w=10.  If l=2, w=10.  And l=3?  24=(2*3)+2w.  24=6+2w.  18=2w.  w=9.  If l=3, w=9.  Do you see a pattern?  Every time we add 1 to l, we subtract 1 from w.  So if l=4, w=8.  If l=5, w=7.  If l=6, w=6.  Here, we start getting similar answers: if l=7, w=5.  If l=8, w=4.  Since we already know these values work, it doesn't matter whether we call it length or width.  So, our answers are below.

Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
You might be interested in
GIVING BRAINLIEST! IM BEGGING YOU PLEASE HELP ME THIS IS DUE TODAY AND I NEED TO HELP MY FRIEND! I CANT HELP THEM UNTIL I FINISH
RSB [31]

Here are the answers

C) 118

D) 64

A) pi(d)

B) ST

A) 22, 61, 97

8 0
2 years ago
Read 2 more answers
The Cougars football team took possession of the ball on the 23-yard line moving toward the 50-yard line. On the first play from
Veseljchak [2.6K]
A c tv yo TV tctuyrx urxfixufxitcufxgi gixifcit
3 0
3 years ago
I'm confused I need help anyone
noname [10]
57-----------------------
6 0
3 years ago
Determine the zeros of f(x)=x^3+7x^2+10x-6
igor_vitrenko [27]
Hello,
x^3+7x^2+10x-6=x^3+3x^2+4x^2+12x-2x-6
=x²(x+3)+4x(x+3)-2(x+3)
=(x+3)(x²+4x-2)
=(x+3)(x+2-√7)(x+2+√7)

zeroes={-3,-2+√7,-2-√7}

4 0
2 years ago
Find the surface area of the rectangular and triangular prisms
harina [27]
Is there a picture to this????

if your just asking how to find  the area of something all you need to do is multiply all the numbers together and the total is the area.
For example if its 8cm,3cm,2cm all you need to do is multiply them together
8x3x2=48  so your area is 48cm
7 0
3 years ago
Other questions:
  • Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the follow
    6·2 answers
  • on Monday Steven read 9 pages of his new book to finish this first chapter on Tuesday he needs to read double of number of pages
    10·1 answer
  • Solving Multi Step Equations: Solve for the variable~<br>y/5 - 9 = 11
    5·1 answer
  • Really need the answer to this.
    8·1 answer
  • Simplify 6 to the second power
    5·1 answer
  • 4 The rate of compound interest is 7.5%. How long will it take for an investment of $4500 to
    5·1 answer
  • A telephone pole were fixed 50m apart.how many poles were there in 26km??​
    11·1 answer
  • Give a polygon with 13 sides, find sum of the measure of its interior angles. a polygon with 13 sides has an interior angle meas
    7·1 answer
  • Helppphjjjjjjjjjjjbb​
    5·1 answer
  • A student completes 2/5 of a science project in 3/4 hour. At this rate, what fraction of the project can the student complete pe
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!