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
Fofino [41]
3 years ago
9

What is the area of a parallelogram whose vertices are A(−4, 9) , B(11, 9) , C(5, −1) , and D(−10, −1) ?

Mathematics
2 answers:
o-na [289]3 years ago
8 0
AB = 15
CD = 15
Distance from AB to CD = 10
the formula of area K= b*h
K= 15*10 = 150

anzhelika [568]3 years ago
6 0

Let

A(-4,9)\\B(11,9)\\C(5,-1) \\D(-10,-1)\\E(-4.-1)          

using a graphing tool

see the attached figure to better understand the problem

we know that

Parallelogram is a quadrilateral with opposite sides parallel and equal in length

so

AB=CD \\AD=BC

The area of a parallelogram is equal to

A=B*h  

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AE

Step 1

<u>Find the distance AB</u>

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-4,9)\\B(11,9)      

substitute the values

d=\sqrt{(9-9)^{2}+(11+4)^{2}}

d=\sqrt{(0)^{2}+(15)^{2}}

dAB=15\ units

Step 2

<u>Find the distance AE</u>

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-4,9)\\E(-4.-1)      

substitute the values

d=\sqrt{(-1-9)^{2}+(-4+4)^{2}}

d=\sqrt{(-10)^{2}+(0)^{2}}

dAE=10\ units

Step 3

<u>Find the area of the parallelogram</u>

The area of a parallelogram is equal to

A=B*h

A=AB*AE

substitute the values

A=15*10=150\ units^{2}

therefore

<u>the answer is</u>

the area of the parallelogram is 150\ units^{2}

You might be interested in
Carter used 1 1/3 gallons of paint to paint 2/5 of a wall. How many gallons will it take to paint the whole wall? Show your reas
fgiga [73]

Answer:

3 1/3 gallons

Step-by-step explanation:

It is more helpful to think of the wall as 5 sections. if two sections used 4/3, by logic one section uses 2/3 (because 4/3 ÷ 2 = 2/3). since there are 5 sections, 2/3 × 5 you get 10/3. turn it into a mixed fraction and you get 3 1/3.

4 0
2 years ago
What is the equation of the line that passes through the points (-4,3) and (2,-6)
GarryVolchara [31]
It would be Slope (m)


m = -9 / 6 = -1.5
3 0
3 years ago
Help please I’lol really appreciate it
kumpel [21]

Answer:

j+z+12

Step-by-step explanation:

6 0
3 years ago
What 22-1600+10 pls help me
Zielflug [23.3K]
-1,568

22 - 1,600 = 1,578
1,578 + 10 = 1,568
7 0
4 years ago
Read 2 more answers
How do u right a rational as a decimal? 7/40
never [62]
Greetings! 

To write a fraction in decimal form, you simply divide the numerator by the denominator:

Examples:
7/40
=0.175

Hope this helps.
-Benjamin
3 0
3 years ago
Other questions:
  • Decide if the converse is true for the following true conditional statement: "If I am in my kitchen, then I am at home." If it i
    10·2 answers
  • How to simplify radicals
    14·1 answer
  • What is the resistance in a circuit when the current is 0.5 ampere? Ohms​
    15·1 answer
  • RSM HW HELP! PLEASE HELP ASAP! TYSM!!<br><br> Find the area of the shaded polygons below:
    13·2 answers
  • The school cafeteria served
    10·1 answer
  • A study of consumer smoking habits includes A people in the 18-22 age bracket (B of whom smoke), C people in the 23-30 age brack
    14·1 answer
  • A random sample of size 16 is to be taken from a normal population having mean of 100 andvariance 4. What is the 90th percentile
    8·1 answer
  • Need help solving for y​
    7·1 answer
  • Confused on which one
    13·1 answer
  • I am a parent and needhelp with this 11 + 3(9 − 6) − 4
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!