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
beks73 [17]
3 years ago
8

Find the area of rectangle ABCD

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

9514 1404 393

Answer:

  D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

  d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

  d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

  A = LW

  A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

  5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12

You might be interested in
Solve the equation y + 5=-12 <br> A y=-19<br> B y=-17<br> C y=-7<br> D y=7
mrs_skeptik [129]

Answer:

y=17

Hope this helps you

8 0
3 years ago
Read 2 more answers
What is 17 1/3 x 8 and how much water will each group get
stealth61 [152]

Answer:

The Answer to 17 1/3 x 8 is 138.67

There is not enough context to answer the second question.

8 0
3 years ago
Please refer to the image.
Citrus2011 [14]

Answer:2.7

Step-by-step explanation:multiply 3 x 1.8 then divide by 2

8 0
3 years ago
Read 2 more answers
Find the distance CD rounded to the near
DanielleElmas [232]

the distance between cd rounded to the nearest tenth is ≈ 7

4 0
3 years ago
Choose all the expression that have the same value as the product 0.11 and 4.5.
omeli [17]
Okay so.
A is 4.95
B is 4.95
C is 4.95
D is 4.95
E is 0.495
So I guess E is the Answer! :)
3 0
3 years ago
Other questions:
  • A weather station in a major city in the Northwest kept data about the weather conditions over the past year. The probabilities
    13·2 answers
  • Which of the following is chord of D
    13·2 answers
  • Help 10 points Is the most it allowed me to put so yeah but still need help. What number is missing from this factor tree for th
    8·1 answer
  • A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 3/2 . What is the volume of the dilated prism?
    14·2 answers
  • An average score of 90 or above in an English course receives an A grade. A student has grades of 81, 87, 94, 93 on four tests.
    13·1 answer
  • Kelly answered 3 items on a test incorrectly . This was 6% of the items. How many items were on the test?
    10·2 answers
  • Find the length of the radius of the following circle. (x+2)^2+y^2=10
    15·1 answer
  • What is the value of x if 15 = 5x + 45 ?
    12·2 answers
  • Find the slope of the line that passes through (10, 8) and (5, 4).
    13·1 answer
  • 98. Of the students on the track team, 12 do the high jump. Of those students, 14 also do the long jump. What fraction of the st
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!