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
I need to know what the answer to this because I’m failing
Dafna1 [17]

Answer:

12

Step-by-step explanation: 12:3=4, 4 x 2= 8

4 0
3 years ago
15.   Pizza Perfection sold 93 pizzas on Monday, 67 pizzas on Tuesday, 78 pizzas on Wednesday, 44 pizzas on Thursday, and 123 pi
meriva
Add all the numbers then divide by how many dates there are.
8 0
3 years ago
Meg pounded a stake into the ground. When she
jeka94
The dog is able to run around in a circle with a radius of9 ft.

The area of a circle is A = pi r^2

A = (3.14) (9)^2
A= (3.14)(81)
A= 254.34 sq ft
3 0
3 years ago
Given: *ABC ~ *DMV ; DM = ___
jeka57 [31]

Answer:

DM should equal 20 inches

6 0
3 years ago
There were 200 people who voted at the Town council meeting all these people 40% voted for a new basketball court in the park ho
galben [10]

Answer:

120 people voted against building the new basketball court.

Step-by-step explanation:

if you divide 200 by 100 then you know how many people equal 1 percent of the 200. knowing that for every 2 people they are equal to 1 percent. so if you do 100 -40 you get 60. the 100 represents the 100 percent and you subtract 40 because these are the people who are voting for the basketball court. The 60 represents the percent of people who are voting against building the basketball court. then you multiply 60 by 2 and you get 120.

3 0
3 years ago
Other questions:
  • A line intersects the point (-3,-7) and has a slope of -1/3. What is the slope intercept equation for this line? Y = -X/3 -[?]
    14·1 answer
  • If n= 5.3 cm and p= 6.25cm what is the measure of angle
    8·1 answer
  • What is 0.25(2d+1)... I need help...
    10·1 answer
  • What is 175-172 divided by 29 over the square root of 20
    13·1 answer
  • Subtract 7x^2+4x-9 from 5x^2+10x-5 express the result as a trinomial in decending degree order
    5·1 answer
  • The theoretical probability of a customer
    12·1 answer
  • Can someone please help me with these questions ( show work plz)​
    12·1 answer
  • Solve the equation. 20 = –d + 16<br><br> A. 4<br><br> B. –10<br><br> C. –6<br><br> D. –4
    9·1 answer
  • Is the relationship a function?<br> {(1,4), (4,1), (1,5),(5,1)]
    12·2 answers
  • What is the slope? please make sure you explajn
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!