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
Question 3 Please. I'm really stuck :(
Stells [14]
Let ∠RTS=∠RST = a (say)
 ∠QUA=∠QSU= b(say)
then we know , at point S, a+40+b=180. so, a+b=140 we'll use this later.

consider trianglePQR, ∠P+∠Q+∠R=180
i.e.P+(180-2b)+(180-2a)=180
P+180+180-2(a+b)=180 ⇒P+180-2(a+b)=0 ⇒P=2(140)- 180=280-180=100
hence,answer is E
7 0
3 years ago
Read 2 more answers
Help me pls i need this right now
balu736 [363]

Answer:

162.4

Step-by-step explanation:

A= 8 * side length * apothem/2

A = 8* 5.8 * 3.5

A = 162.4

6 0
3 years ago
Read 2 more answers
Please help 8th grade math
wariber [46]

Answer:

n \geq  -\frac{-29}{28}

Step-by-step explanation:

-3(1 - 7n) \geq  -32 - 8n\\-3 + 21n \geq  -32 -8n\\

       +8n               +8n

-3 + 28n \geq  -32\\+3                      +3\\28n  \geq  -29\\/28              /28\\n \geq \frac{-29}{28}

6 0
3 years ago
Answer Choices
sasho [114]

Answer:

c) only Anne

Step-by-step explanation:

I just did the test. Hope this helps! : )

4 0
3 years ago
Does the graph represent a function?
saveliy_v [14]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate A2 for A = 2.3.
    11·2 answers
  • 10 PTS :)
    13·1 answer
  • Two hikers hike from a first mountain to a second mountain. The next day, they hike from the second mountain to the hollow. The
    7·1 answer
  • The midpoint of line AC is
    10·1 answer
  • In the box, type the number that will correctly complete the sentence.
    8·1 answer
  • 2/3 * 10/24*-3 1/8* -4/5
    14·1 answer
  • Picture shown help! !!
    5·1 answer
  • I need explanation, along with answer
    9·2 answers
  • Write the coordinates​
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%3F%20191" id="TexFormula1" title="\sqrt? 191" alt="\sqrt? 191" align="absmiddle" class
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!