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
charle [14.2K]
3 years ago
8

What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?

Mathematics
2 answers:
kondaur [170]3 years ago
7 0
The length of the side joining points (-3, -1) and (1, 3) is given by

l= \sqrt{(1+3)^2+(3+1)^2}  \\  \\ = \sqrt{4^2+4^2} = \sqrt{16+16}  \\  \\ = \sqrt{32}

The length of the side joining points (1, 3) and (3, 1) is given by

w= \sqrt{(3-1)^2+(1-3)^2} \\ \\ = \sqrt{2^2+(-2)^2} = \sqrt{4+4} \\ \\ = \sqrt{8}

The area of a rectangle is given by length times width.

Thus, the area of the given rectangle is given by

Area=l\times w \\  \\ = \sqrt{32} \times \sqrt{8}  \\  \\ = \sqrt{32\times8} = \sqrt{256}  \\  \\ =\bold{16} \ units^2
NNADVOKAT [17]3 years ago
7 0
Hiya,

So I did this quiz just now and I have the answers. c:


1.) What is the area of a rectangle with vertices at 

<span><span>(−3, −1)</span><span>(−3, −1)</span></span> , <span><span>(1, 3)</span><span>(1, 3)</span></span> , <span><span>(3, 1)</span><span>(3, 1)</span></span> , and <span><span>(−1, −3)</span><span>(−1, −3)</span></span> ?

Enter your answer in the box. Do not round any side lengths.

Answer: 16 Units


2.) What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?

Answer: 26.8 Units


3.) What is the area of a triangle with vertices at 

<span>(0, −2)</span> ,  ​ <span>(8, −2)</span> ​ , and ​ <span>(9, 1)</span> ​ ?

Enter your answer in the box.

Answer: 12 Units

4.) <span>What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
Answer: 21.6 Units

5.) 
</span>What is the perimeter of a polygon with vertices at 

<span>(−2, 1)</span> , ​ <span>(−2, 4)</span> <span>​,  <span>(2, 7)</span> , ​ <span>(6, 4)</span> ​, and <span>(6, 1)</span> ​?</span>

<span>Enter your answer in the box. Do not round any side lengths.​
</span>

<span>Answer: 24 Units</span>

<span>
</span>

<span>I really hope this helps! Let me know if it did... or anyone else that used this info!</span>

You might be interested in
F(x) = 5x^2 - 8x - 5 what is the value of f(10) ?
Dominik [7]
<span>f '(x) = 2(3x2<span> + 5) + 6x(2x - 1)</span></span><span>= 6x2<span> + 10 + 12x</span>2<span> - 6x</span></span><span>= 18x2<span> - 6x + 10</span></span>
8 0
3 years ago
:))))))))))))))))))))))))))))ty
goldenfox [79]

Answer:

I/rt =P

Step-by-step explanation:

to get ride of the r and t u need to divide

divide by rt

which would =to I/rt=P

8 0
2 years ago
Find the value of each variable in the parallelogram
melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0
3 years ago
Read 2 more answers
My teacher won't help i I actually want to learn this can you please help me​
Reika [66]
15 you have to do all the steps thank it this I think
6 0
3 years ago
Given that ∠S ≅ ∠A, and AB ≅ ST , what is the third congruence needed to prove that ΔABC ≅ ΔSTU by ASA?
Olenka [21]

Answer:

angle-side-angle. that's my answer

7 0
2 years ago
Other questions:
  • What is another way to write the equation 7/8x+3/4= -6?
    8·2 answers
  • I need three terms like -19m
    8·1 answer
  • -11+x-12-8=2x-13-11 plz I need it now !!
    6·1 answer
  • Evaluate the expression for x= 2 and y=4. Enter your answer in the box. 16x + 2x2 - y2​
    14·1 answer
  • mr.wallace surveyed 75 students at poole middle school to find out the students favorite place to eat lunch.
    7·1 answer
  • CAN SOMEONE HELP ME WITH THE QUESTION IPOSTED EARLIER IT LOOKS LIKE A LOT BUT IT IS NOT
    15·1 answer
  • Which expression is equivalent to(60)^2-(12)^2?
    5·2 answers
  • 9+15÷3(2)-6<br> Please help me
    12·1 answer
  • Please solve with steps
    15·2 answers
  • What is the area of a poster that is 1 1/2 feet by 2 1/2 feet?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!