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
1. You have 23 coins, all quarters and dimes, totaling $4.85. How many of each coin do you<br> have?
Ksju [112]

the answer is this...

.25x+.10y=4.85

x+y=25

7 0
2 years ago
Zen deposited some money in a savings account. The graph below shows the value of Zen's investment y, in dollars, after x months
kifflom [539]

The y-intercept of 1000 in the graph is at the point where x is equal to 0.

At x=0, it means no month have passed. It is the initial point where Zen deposited the money.

What is the amount (y axis)? 1000!

So y represents the initial deposit of Zen, which is 1000.


ANSWER: Answer choice D (Amount of money Zen deposited in the savings account)

6 0
3 years ago
Read 2 more answers
Help meeee!!! X/h + 1 = -2
inessss [21]

Answer:

anong grade Mo na ba?

Step-by-step explanation:

grade?

7 0
3 years ago
Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4
Sholpan [36]

Answer:

Step-by-step explanation:

To the evaluate -5.3+7.9

We get

2.6

Therefore the error

=2.6-2.4

=0.2

6 0
3 years ago
Read 2 more answers
Drag the blue movable points to produce a graph that correctly represents the inequality
posledela

Link Provided in other answer is a SCAM !!! Do NOT CLICK ON IT !!!
4 0
2 years ago
Other questions:
  • Round 76 million to 1 significant figure
    14·1 answer
  • The slope of a line is 2/3. the slope of a line parallel to it is ?
    12·2 answers
  • What is the reason for step 5?
    9·1 answer
  • I am a number. When you multiply me by 2, then divide by 3, the answer is 4. What number am I?
    6·2 answers
  • Which graph is the graph of f(x)= (x - 1)/(x + 2) ?
    15·1 answer
  • How many cubic inches of storage space are in Leo’s cabinet ? Please help :)
    8·1 answer
  • 4x - 6y =12 make this slope intercept from
    14·1 answer
  • Find the perimeter of the shape. Please help, no scams
    5·2 answers
  • Which system of equations does the graph represent?
    8·1 answer
  • 4(3B + 2) -7B<br>please help!!​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!