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
vlada-n [284]
2 years ago
15

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v

ertex? ( , ) b. Find the area and perimeter of the rectangle. Area = square units Perimeter = units
Mathematics
1 answer:
34kurt2 years ago
8 0

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

You might be interested in
Of the 48 dogs enrolled in obedience
Serga [27]
36/48=6/8=3/4 so 75% completed training
8 0
3 years ago
A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.Find
Alinara [238K]
◆ Pythagoras Theoram ◆

Hey !!

Check the attachment.
Hope it helps you :)

5 0
3 years ago
What is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5,9.1)?
umka21 [38]
(-3, 1.5)....simply add the x coordinates together, divide them by two, and then do the same for the y coordinates.
4 0
4 years ago
2
Contact [7]
Answer is C
Each additional year of
6 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.
melisa1 [442]

\text{Apply Pythagorean theorem,}\\\\~~~~~~~~\text{Hypotenuse}^2=\text{Base}^2 + \text{Perpendicular}^2\\\\\implies 9^2 = \text{Base}^2 + \left(2\sqrt{14} \right)^2\\\\\implies 81 = \text{Base}^2 + 56\\\\\implies \text{Base}^2 = 81-56\\\\\implies \text{Base}^2 = 25\\\\\implies \text{Base} = \sqrt{25}\\\\\implies \text{Base} = 5\\\\\text{The length of the third side is 5 units.}

4 0
2 years ago
Other questions:
  • Find the 29th term of the following sequence. <br><br> 12, 14, 16, 18, . . .
    11·2 answers
  • If the length of a figure (preimage) is 6cm, how long will the new figure (image) be if you triple the length? Explain how you f
    9·1 answer
  • Slope of (3,-5) and (3,2)
    14·2 answers
  • If I have 16 yards of ribbon and each gift uses one fourth yard of ribbon how gifts could I wrap
    14·1 answer
  • PLEASE HELP WILL MARK BRAINLY
    9·1 answer
  • Please help me! Answer will get marked brainliest. ASAP! THANK U
    14·2 answers
  • Solve for X<br><br>show me what steps to do for this one​
    12·2 answers
  • What is the length of the unknown leg in the right triangle?
    14·1 answer
  • Please distribute 3 ( 2x + 3y)
    6·1 answer
  • *please be serious*
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!