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
Tasya [4]
3 years ago
13

A rectangle whose perimeter is 80 m has an area of 384 m^2. Find the dimensions of the rectangle.

Mathematics
2 answers:
Ann [662]3 years ago
8 0
2a+2b=80 \ /:2\ \ \ \Rightarrow\ \ \ \ a+b=40\ \ \ \Rightarrow\ \ \ a=40-b\\ \\a\cdot b=384\ \ \ \ \Rightarrow\ \ \ (40-b)\cdot b=384\ \ \ \ \Rightarrow\ \ \ -b^2+40b-384=0\\ \\ \Delta=40^2-4\cdot (-1)\cdot(-384)=1600-1536=64\ \ \ \Rightarrow\ \ \  \sqrt{\Delta} =8\\ \\b_1= \frac{-40-8}{2\cdot(-1)}= \frac{-48}{-2}  =24\ \ \ \ \Rightarrow\ \ \ a_1=40-b_1=40-24=16 \\ \\b_2= \frac{-40+8}{2\cdot(-1)}= \frac{-32}{-2}  =16\ \ \ \ \Rightarrow\ \ \ a_2=40-b_2=40-16=24

Ans.\ The\ dimensions\ of\ the\ rectangle:\ \ \ 16\ m\ \ \ and\ \ \ 24\ m

Kitty [74]3 years ago
4 0
Since area of a rectangle =  length X width I came up with an answer of 16 X 24 =384
Also, 16+16+24+24 = 80

You might be interested in
A college survey was taken to determine where students study. Of 105 students surveyed, 63 studied in the library, 56 studied in
otez555 [7]
38 students studied in the library 
31 students studied in the union 
and 
56 students neither study in the library or union.
3 0
3 years ago
Four people can mow a lawn in 6 hours. How many more people will be needed to mow the lawn in 4 hours, assuming each person mows
ratelena [41]

Answer:

Two more people.

Step-by-step explanation:

If 4 people can mow a lawn in 6 hours, then 4 people can mow 1/6 of a lawn in 1 hour.

If 4 people can mow 1/6 of a lawn in 1 hour, then 1 person can mow 1/24 of a lawn in 1 hour.

If 1 person can mow 1/24 of a lawn in 1 hour, then 6 people can mow 1/4 of a lawn in 1 hour.

If 6 people can mow 1/4 of a lawn in 1 hour, then 6 people can mow a lawn in 4 hours.

6 people minus 4 people is 2 people.

4 0
4 years ago
You sell a total of 17 pieces of disposable and washable face masks.what is the answer
Amanda [17]
I don’t understand you are asking
6 0
3 years ago
Lily took 57 seconds to walk from classroom to library.If the distance between the classroom and library was 38m, at what averag
borishaifa [10]
It would be 127 min because you have to multiply and u get your answer simple
8 0
3 years ago
Read 2 more answers
Select the correct answer choice below: *<br> Captionless Image
sleet_krkn [62]

Answer:

theres nothing there

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • This is for my sister.<br> Karim says he can fold a circle more than 15 ways. Is it correct? Explain
    7·1 answer
  • Amy needs 6/8 gallon of fruit juice to make punch .She needs an equal amount of sparkling water. How much sparkling water does s
    8·1 answer
  • If the perimeter of the triangle is 24 units, how many units is the length of FH?
    7·1 answer
  • What is the sum of a number y and 9 is at least -1?
    8·1 answer
  • Find the gratest common factor.
    7·1 answer
  • Show All your work!!
    10·1 answer
  • A dog runs across a 500 sq foot house, how many miles did he run?
    14·2 answers
  • Erghweradstrfhbsrdfthwrth
    14·1 answer
  • Triangle ABC is shown below.<br> What is the cosine of angle B?
    5·2 answers
  • Find the center and radius
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!