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
Mkey [24]
2 years ago
10

Which rectangle has the smallest perimeter

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
4 0
<h2>PERIMETER</h2>

\rm\large{Hi!!}

<h3>PROBLEM: </h3>

  • The table below lists the widths of four rectangles each with an area of 72 cm².

Rectangle 1 : 6 cm (width)

Rectangle 2 : 8 cm (width)

Rectangle 3 : 10 cm (width)

Rectangle 4 : 18 cm (width)

Which of the four rectangle has the smallest perimeter?

\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

<h3>ANSWER and SOLUTION:</h3>

  • Now, to be able to determine <em>what </em><em>rectangle</em><em> </em><em>has</em><em> </em><em>the </em><em>smallest</em><em> </em><em>perimeter</em><em>,</em><em> </em>we have to get the perimeter of all rectangles.

FORMULA TO BE USED: P = 2(l+w)

Now that we have the formula, Let's Solve!!

\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}

CALCULATION FOR RECTANGLE 1:

Given:

  • Length = 72
  • Width = 6

Formula:

  • P = 2(l+w)

Substitution:

  • P = 2(72+6)
  • P = 2(78)
  • P= 156

  • The <u>perimeter of Rectangle 1 is 156.</u>

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

CALCULATION FOR RECTANGLE 2:

Given:

  • Length = 72
  • Width = 8

Formula:

  • P = 2(l+w)

Substitution:

  • P = 2(72+8)
  • P = 2(180)
  • P = 160

  • The <u>perimeter of Rectangle 2 is 160.</u>

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

CALCULATION FOR RECTANGLE 3:

Given:

  • Length = 72
  • Width = 10

Formula:

  • P = 2(l+w)

Substitution:

  • P = 2(72+10)
  • P = 2(82)
  • P = 164

  • The <u>perimeter of Rectangle 3 is 164.</u>

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

CALCULATION FOR RECTANGLE 4:

Given:

  • Length = 72
  • Width = 18

Formula:

  • P = 2(l+w)

Substitution:

  • P = 2(72+18)
  • P = 2(90)
  • P = 180

  • The <u>perimeter</u><u> </u><u>of </u><u>Rectangle </u><u>4</u><u> </u><u>is </u><u>1</u><u>8</u><u>0</u><u>.</u>

\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}

<h3>NOW, LET'S SUMMARIZE THE PERIMETER OF EVERY RECTANGLE^^</h3>

  • Rectangle 1 = 156
  • Rectangle 2 = 160
  • Rectangle 3 = 164
  • Rectangle 4 = 180

Now, among all of these four rectangles, which one is the smallest? Yes, <u>the one that has the smallest perimeter is the Rectangle 1</u>.

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Again, the final answer is <u>A. Rectangle 1</u>.

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

⊱┈──────────────────────┈⊰

(^_^メ)

Hi, Im Daubechies, a Filipina user ≧▽≦

77julia77 [94]2 years ago
3 0

Rectangle 1 !!!!!!!!!!!

You might be interested in
School starts in 45 minutes and you live 17 miles from school. What average speed (in miles per hour) do you need to travel in o
Arada [10]
It would be 22.67mph
3 0
3 years ago
) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states th
Bad White [126]

Answer:

65.45

Step-by-step explanation:

Zscore = (x - mean) / standard deviation

x = score

Percentage below C :

D = 18% ; F = 12%

Sum = 30%

Obtain the Zscore for the proportion below D

P(Z < 0.30) = -0.524

Hence, Zscore = -0.524

Put Zscore = -0.524 in the equation :

-0.524 = (x - 72) / 12.5

-0.524 * 12.5 = x - 72

-6.55 = x - 72

-6.55 + 72 = x

x = 65.45

To receive a grade of C or better, score must be atleast 65.45

6 0
2 years ago
Which statement below best describes the transformation of parallelogram WXYZ to parallelogram W' X' Y' Z'?
Arisa [49]
The answer is B. A reflection across the x-axis.
6 0
3 years ago
Read 2 more answers
Help with this question, please! The answer with the red arrow is INCORRECT!! HELP ASAP!
Vilka [71]

Answer:

the area is multiplied by 3

Step-by-step explanation:

if the diagonal is multiplied by 3 than the area will "grow larger" by 3.

4 0
2 years ago
I NEED HELP UNDER 5 MINUTES BEST ANSWER GETS BAINLESS hits 96 must play 3 minutes of commercials for every 30 minutes of music p
Ksivusya [100]

Answer:

21

Step-by-step explanation:

so the relationship is that the music is ten times the commercials so, divide 210 by 30 and times that number by 3 210/30= 7, 7'3=21

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following is true for the relation f(x) = x2 + 8? Only the inverse is a function. Both the equation and its inverse
    11·1 answer
  • 39 is 5% of what number
    9·1 answer
  • If i was born april 16th 1991 how old would i be?
    7·2 answers
  • (1) 2x-5=6.6 <br>(2)3/4m+4=13<br>(3)5/2p-3=13<br>(4)3.5m+4.5=11.5<br>(5)9x+3.5=21.5
    7·1 answer
  • A palm tree casts a 24 foot shadow. The end of the shadow is 44 feet from the top of the tree. How tall is the tree? Pls help
    12·1 answer
  • Five times the sum of a number and 6
    5·1 answer
  • What is 12b when b= -8
    12·2 answers
  • I will mark as the brainliest answer
    5·1 answer
  • 63 × (– 48) + 48 × (–37)
    9·2 answers
  • What type of equation is 9x-3y=27
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!