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
nexus9112 [7]
3 years ago
15

You have 500 ft of fencing all rolled up and you want to make a rectangular playground area for your son. What are the dimension

s of the largest playground you could build?
Mathematics
1 answer:
laiz [17]3 years ago
5 0
When you read this, the first thing that should jump out at you is: 
What does "largest" mean ? 

Does it mean the longest possible playground ?  The widest possible ? 
The playground with the most possible area ?

Well, we can narrow it down right away.  If you try and find the longest
or the widest possible playground, then what you get is:  The longest or
the widest possible playground is 250 feet by zero.  It has a perimeter
of 500 ft, and nobody can play in it.  That's silly.

It makes a lot more sense if we look for the playground that has
the greatest AREA.

I happen to remember that if you have a certain fixed amount of
fence and you want to use it to enclose the most possible area,
then you should form it into a circle.  And if it has to be a rectangle,
then the next most area will be enclosed when you form it into a square.

So you want to take your 500 feet of fence and make a playground
that's 125-ft long and 125-ft wide.

Its area is (125-ft  x  125-ft)  =  15,625 square feet.

Just to make sure that a square is the right answer, let's test
what we would have if we made it not quite square ... let's say
1 foot longer and 1 foot narrower:

Length = 126 feet
Width  = 124 feet

Perimeter  =  2 (126 + 124)  =  500-ft   good

Area  =    (126-ft  x  124-ft)  =  15,624 square feet.

Do you see what happened ?  We kept the same perimeter, but
as soon as we started to make it not-square, the area started to
decrease.

The square is the rectangle with the most possible area.
You might be interested in
Is x = 1/2 a solution of 6 x − 8 = −5 ?
Igoryamba

Answer:

Yes

Step-by-step explanation:

When we solve it we get 0.5 which is 1/2 in fraction from

7 0
3 years ago
What is the autput the following machine when the intut is 4
ch4aika [34]

Input is 4.

Process machine:

Input > - 7 > ÷ 3 > Output

Solve:

(Input) 4 - 7 = <u>-3</u>

          <u>-3</u> ÷ 3 = <u>-1 </u>(Output)

Input = 4

Output = -1

3 0
2 years ago
ωнι¢н σƒ тнє ƒσℓℓσωιηg ιѕ тнє ρσѕιтιση ѕ(10) σƒ тнє мσνιηg вσ∂у αт тιмє т=10ѕ, gινєη тнαт ιтѕ α¢¢єℓєяαтιση, α(т)=9.8 м/ѕ^2 , ιηι
jek_recluse [69]
I am eng k ...................
8 0
3 years ago
The number 360 is increased by 25%. The result is then decreased by 50%. What is the final number?
Vladimir [108]
So if 360 is increased by 25%, you would end up with 450 (360 x 1.25), than if the result, 450 is decreased by 50% ( 450 x .50 = 225) (450 - 225 = 225) you would end up with 225.
3 0
3 years ago
The sales tax in your city is 4 . 4 % 4.4%4, point, 4, percent, and an item costs $ 3 $3dollar sign, 3 before tax. How much tax
Sonbull [250]

$3.00*.044=$0.132 or rounded to $0.13

4 0
3 years ago
Read 2 more answers
Other questions:
  • Geometric Series Assistance
    9·1 answer
  • Anna is organizing 40 sheets of red and blue scrapbook paper. She places 15 blue sheets in each of 2 folders. Then she splits th
    9·2 answers
  • William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a loc
    8·1 answer
  • 9. For a play at the local high school, the adult
    11·1 answer
  • Is 1/5 equal less or greater than 2/10
    5·1 answer
  • How do you write 1/4 as money
    8·2 answers
  • A group of three people are selected at random, what is the probability that all the three people have different birthdays.
    12·1 answer
  • Let ​f(x)=x2 and ​g(x)=x−6. Find ​(f◦​g)(−1​).
    9·1 answer
  • .104 into a fraction<br>.75 into a fraction​
    12·1 answer
  • You make $10.50 an hour at your part-time job and Andy makes $9.75 an hour at his full-time job. If you work a full week of 40 h
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!