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
zysi [14]
2 years ago
6

Select all expressions that represent the area of the quadrilateral shown.

Mathematics
2 answers:
Rama09 [41]2 years ago
4 0

Solution:

<u>Finding the area of triangle₁</u>

  • 1/2 x 6 x 2 = Area of triangle₁
  • => 6 units² = Area of triangle₁

<u>Finding the area of triangle₂</u>

  • 1/2 x 8 x 2 = Area of triangle₂
  • => 8 units² = Area of triangle₂

<u>Finding the area of triangle₃</u>

  • 1/2 x 4 x 2 = Area of triangle₃
  • => 4 units² = Area of triangle₃

<u>Finding the area of rectangle</u>

  • 6 x 4 = Area of rectangle
  • => 24 units² = Area of rectangle

<u>Finding the area of quadrilateral</u>

  • 6 + 8 + 4 + 24 = Area of quadrilateral
  • => <u>42 units²</u> = Area of quadrilateral

<u>Verifying Option A</u>

  • (8 x 8) - 1/2(8 x 2) - 1/2(2 x 4) - (2 x 2) - 1/2(6 x 2)
  • => (64) - 1/2(16) - 1/2(8) - (4) - 1/2(12)
  • => 64 - 8 - 4 - 4 - 6
  • => <u>42 units²</u>

Option A is correct.

<u>Verifying Option B</u>

  • (8 x 4) - 1/2(2 x 4) + (2 x 8) + 1/2(2 x 6)
  • => 32 - 1/2(8) + (16) + 1/2(12)
  • => 32 - 4 + 16 + 6
  • => 50 units²

<u>Verifying Option C</u>

  • (8 x 8) - 1/2(8 x 2) - 1/2(2 x 4) - 1/2(6 x 2)
  • => (64) - 1/2(16) - 1/2(8) - 1/2(12)
  • => (64) - 8 - 4 - 6
  • => 46 units²

<u>Verifying Option D</u>

  • 1/2(8 x 2) + 1/2(4 x 2) + (4 x 6) + 1/2(6 x 2)
  • => 1/2(16) + 1/2(8) + (24) + 1/2(12)
  • => 8 + 4 + (24) + 6
  • => <u>42 units²</u>

Option A and D are correct.

marissa [1.9K]2 years ago
3 0

Answer:

A) and D)

Step-by-step explanation:

The area of the quadrilateral = 42 square units

A) 42

B) 50

C) 54

D) 42

You might be interested in
Please help me out! And show your work :)) &lt;3
8_murik_8 [283]

Answer:

mbnmf mkvdv dlbj fbljkf mgmbv m

Step-by-step explanation:

vk gmb flkmvfvv

3 0
3 years ago
Read 2 more answers
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3.
Studentka2010 [4]
Hello,

y+2=1/3*(x-1) ==>3y+6=x-1==>x-3y-7=0

Answer C
8 0
3 years ago
Read 2 more answers
Evaluate the following expression (2.3)-3(1,1)
uranmaximum [27]

Answer:

<em><u>2</u></em><em><u>.</u></em><em><u>3</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>3</u></em><em><u>,</u></em><em><u> </u></em><em><u>1</u></em><em><u>)</u></em><em><u> </u></em>

Step-by-step explanation:

1) Simplify  3 × (1, 1) 3 × (1, 1)  to  3× 1, 13 × 1,1.

<em>2</em><em>.</em><em>3</em><em> </em><em>-</em><em> </em><em>(</em><em> </em><em>3</em><em> </em><em>×</em><em> </em><em>1</em><em>,</em><em> </em><em>1</em><em> </em><em>)</em>

2) Simplify 3 × 1 to 3.

2.3 - ( 3, 1)

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em><em><u>3</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>3</u></em><em><u>,</u></em><em><u> </u></em><em><u>1</u></em><em><u>)</u></em><em><u>.</u></em>

3 0
3 years ago
Read 2 more answers
597008.439431 to the nearest thousand
vodka [1.7K]

597008.439431 rounded to the nearest thousandth is 597008.439, because a thousandth place is 3 decimal places available, to the right.  


5 0
3 years ago
Read 2 more answers
Does somebody know how to do this?
svetoff [14.1K]

Answer:

Total length of running track is 371.24 m .

Step-by-step explanation:

Total running track = Running track around straight region + running track around curved region.

Running track around straight region = 2 × length of straight region

= 2×82 m

= 164 m

Running track around curved region = 2 × length of curved region

= 2 × π × radius of curved region

= 2 × 3.14 × 33 m

= 207.24 m

Therefore , total length  of running track = 164 + 207.24 m

= 371.24 m

5 0
3 years ago
Other questions:
  • The ratio of two numbers is 8 to 5. The difference in two numbers is 24. What are the numbers?
    13·1 answer
  • 6. (5y+2)+14x=5y+ (2+14x)
    13·2 answers
  • I have 2 questions:
    5·1 answer
  • How to solve 4|x+6|greater than or equal to 20
    6·1 answer
  • Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If bot
    10·1 answer
  • Ben bowled 143 and 216 in his first two games. What must he bowl in his third game to have an average of at least 170?
    11·1 answer
  • 9.
    9·1 answer
  • A satellite is in an approximately circular orbit 36,000 kilometers from Earth’s surface. The radius of Earth is about 6400 kilo
    9·2 answers
  • Find g(-4) if g(x) = 8x^2 + 4x
    13·1 answer
  • Find the mean of the first five whole numbers​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!