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
Harman [31]
9 months ago
15

The coordinates of each rectangle ABCD are A (0,2) B (2,4) C (3,3) D (1,1). Find the distance of each side of the rectangle then

find the perimeter and the area
Mathematics
1 answer:
EastWind [94]9 months ago
5 0

AB = CD = √8 ≈ 2.8 units

BC = AD = √2 ≈ 1.4 units

Area of the rectangle ABCD = 3.92 units²

Perimeter of the rectangle ABCD = 8.4 units

<h3>How to Find the Area and Perimeter of a Rectangle?</h3>

Given the coordinates of vertices of rectangle ABCD as:

  • A(0,2)
  • B(2,4)
  • C(3,3)
  • D(1,1)

To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.

Using the distance formula, we have the following:

AB = √[(2−0)² + (4−2)²]

AB = √[(2)² + (2)²]

AB = √8 ≈ 2.8 units

CD = √8 ≈ 2.8 units

BC = √[(2−3)² + (4−3)²]

BC = √[(−1)² + (1)²]

BC = √2 ≈ 1.4 units

AD = √2 ≈ 1.4 units

Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²

Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units

Learn more about the area and perimeter of rectangle on:

brainly.com/question/24571594

#SPJ1

You might be interested in
Please help with three questions!! Worth 98 points!!
qwelly [4]

Answer:

Please show us the questions and will help further this discussion.


4 0
2 years ago
Read 2 more answers
When you divide me by 5,remainder is 4.
ICE Princess25 [194]
Clue one tells you it ends in a 4 or 9.
Clue two tells you it has to be 9.
Clue three tells you x + 9 = 10
The number is 19
6 0
3 years ago
Make sure all solutions are in lowest terms. 5/6 • 1/3
stiks02 [169]
1/3=2/6
5/6x2/6= 10/36
10/36 simplified is 5/18
3 0
2 years ago
A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti
andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of  first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

A + B = 30

Then the total amount of pure antifreeze in the mixture will be:

0.2A + 0.7B = 0.35 * 30

0.2A + 0.7B = 10.5

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

-0.7A -0.7B = -0.7*30

-0.7A -0.7B = -21

-0.7A -0.7B = -21

               +

0.2A + 0.7B = 10.5

--------------------------------------

-0.5A = -10.5

A = \frac{-10.5}{-0.5}

A = 21\ gallons

We substitute the value of A into one of the two equations and solve for B.

21 + B = 30

B = 9\ gallons

3 0
2 years ago
Please help as soon as possible
Gemiola [76]
-3.7, 12/20, and 330%
4 0
1 year ago
Read 2 more answers
Other questions:
  • The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent
    14·1 answer
  • Which equation has a constant of proportionality equal to 4
    13·1 answer
  • Find the volume of the rectangular prism<br> 9cm<br> 9cm<br> 2cm
    8·2 answers
  • If a backpack can fit 10 pounds of good, how many backpacks are necessary for 35 pounds of good.
    9·2 answers
  • Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th
    8·1 answer
  • Y ∝ 1 √ x If y = 4 when x = 64 find, y when x = 16
    9·1 answer
  • Can yu write a linear equation for this
    7·2 answers
  • Evaluate. [(1 1/3−2/3)⋅(−3/4)^3]÷(−2) What is the value of the expression? Enter your answer as a simplified fraction in the box
    13·1 answer
  • A driver spent 45minutes to cover a distance of 120km. what is the speed of the driver in km per hour.
    6·1 answer
  • An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!