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
GalinKa [24]
3 years ago
12

ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilatera

l EBFD ?
Mathematics
1 answer:
Dima020 [189]3 years ago
7 0
Given : - Square ABCD with side 3.  E and F as midpoints.
To find : - area of EBFD

Solution : - We have, area of square ABCD = 3 x 3 = 9 units.

Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF

arDAE = 1/2 x base x height

=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25

arDFC = 1/2 x base x height 
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25

Thus, (ar) EBFD = arABCD - arDAE - arDCF

= 9 - 2.25 - 2.25

= 4.5 units.

Thus, area of quad EBFD is 4.5 units.  
You might be interested in
The figure shows graphs of f, f ', f '', and f '''. Identify each curve.
Rzqust [24]
I think the correct answers are:

f ----> d
<span>f' ----> c
</span><span>f'' ---> b 
</span><span>f''' ---> a

f' signifies the slope of the function f. so f" is the slope of the slope and so on.</span>
8 0
3 years ago
Read 2 more answers
Solve the following equation for x. x = -2 x = 2 x = -17 x = -7 (x - 5)/2 = -6
nordsb [41]

Step-by-step explanation:

x= -2,

(x - 5) / 2= -6

( (-2) - 5) / 2= -6

(-7) / 2 = -6

-3.5 = - 6

right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.

x=2,

(x - 5) / 2= -6

(2 - 5) / 2= -6

(-3) / 2= -6

-1.5 = - 6

right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.

x= -17

(x - 5) / 2= -6

( ( -17) - 5) / 2= -6

(- 22) / 2= -6

-11 = -6

right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.

x= -7,

(x - 5) / 2= -6

( ( -7) -5) / 2= -6

(-12) / 2= -6

-6= -6

right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.

8 0
3 years ago
Write an equation to find the total number of hours h the instructor exercises in any number of weeks w
shusha [124]
Have a pic of the problem?
3 0
2 years ago
6x+5y+2z=41<br> 4x-10z=-10<br> -x-2y+2z=-1
Rasek [7]
\left[x \right] = \left[ \frac{5\,y}{158}+\frac{6\,z}{79}\right][x]=[​158​​5y​​+​79​​6z​​]
3 0
3 years ago
Find the slope of the line that passes through (2,21) and (84, -30)
Flura [38]

Answer:

-51/82.

Explanation:

Given two points (x1,y1)=(2,21) and (x2,y2)=(84,-30), we find the slope using the formula below:

m=\frac{y_2-y_1}{x_2-x_1}

Substitute the given points:

\begin{gathered} m=\frac{-30-21}{84-2} \\ m=-\frac{51}{82} \end{gathered}

The slope of the line that passes through the given points is -51/82.

3 0
1 year ago
Other questions:
  • I can't seem to figure out this problem -4q + 9 = 7q - 31 ​
    11·2 answers
  • a pattern calls for green tiles and blue tiles in a ratio of 3 : 4. how many green tiles are needed if 100 blue tiles are used ?
    14·1 answer
  • What is 11*1/4 for math
    13·2 answers
  • Find the area of the triangle below. Be sure to include the correct unit in your answer.
    5·2 answers
  • Please help with algebra problem
    6·1 answer
  • HELP ASAP PLEASE!! GIVING BRAINLIEST
    13·1 answer
  • Calculate the circumference of this circle π3.14 radius= 36 in
    5·1 answer
  • HELP I WILL GIVE BRAINLEST, 5 STARS, AND THANKS
    6·2 answers
  • How to solve the following question attached?
    11·1 answer
  • Graph the following features <br> Y-intercept = 2 <br> Slope = -2/5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!