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
Art [367]
3 years ago
11

Use the quadrant system to find the area of the polygon

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

The area of the polygon is 64 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The polygon has 5 sides and 5 vertices

- To find its area by easy way split it into two trapezoid by a horizontal

  line y = 1

- The vertices of trapezoid (1) are (-5 , 1) , (4 , 1) , (-5 , 5) , (0 , 5)

- The vertices of one of the parallel bases are (-5 , 1) , (4 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , 5) , (0 , 5)

- The length of this base = 0 - (-5) = 0 + 5 = 5 units

- The length of its height = 5 - 1 = 4 units

- The area of the trapezoid = 1/2 (b1 + b2) × h

∴ Area of trapezoid 1 = 1/2 (9 + 5) × 4 = 28 units²

- The vertices of trapezoid (2) are (4 , 1) , (-5 , 1) , (-5 , -5) , (-2 , -5)

- The vertices of one of the parallel bases are (4 , 1) , (-5 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , -5) , (-2 , -5)

- The length of this base = (-2) - (-5) = -2 + 5 = 3 units

- The length of its height = 1 - (-5) = 1 + 5 = 6 units

∴ Area of trapezoid 1 = 1/2 (9 + 3) × 6 = 36 units²

∵ Area of the polygon = Area trapezoid (1) + Area trapezoid (2)

∵ Area trapezoid (1) = 28 units²

∵ Area trapezoid (2) = 36 units²

∴ Area of polygon = 28 + 36 = 64 units²

∴ The area of the polygon is 64 units²

You might be interested in
Which pop boy band had the most success in 2019.
Alexus [3.1K]

Answer:

BTS

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write an equation that represents the
Schach [20]

Answer:

Our free fall calculator can find the velocity of a falling object and the height it ... accelerating by 9.80665 m/s (approximately equal to 32.17405 ft/s ) every second.

Step-by-step explanation:

3 0
2 years ago
Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the
Vesnalui [34]

Answer:

The Answer is B.

Step-by-step explanation:

I took the quiz on Edge.

6 0
3 years ago
Read 2 more answers
(PLEASE ANSWER: TIMED)The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB)=1
Mrac [35]
For this case we have the following equation:
 l(dB) = 10log( \frac{l}{lo} )
 We must replace the following value in the equation:
 l = 10^8lo
 Substituting we have:
 l(dB) = 10log( \frac{10^8lo}{lo} )
 Simplifying the given expression we have:
 l(dB) = 10log(10^8)
 Then, using logarithm properties in base 10, we can rewrite the expression:
 l(dB) = 10(8)
 Finally, making the product, the result is:
 l(dB) = 80
 Answer:
 
l(dB) = 80
 option 4
3 0
3 years ago
Read 2 more answers
A rectangular parking lot has an area of 682 square yards. The lot is 22 yards wide. What is the length of the parking lot?
tatuchka [14]
The answer is 31 yards.
4 0
3 years ago
Read 2 more answers
Other questions:
  • 72 is equal to 80% of a number n. Write and solve and equation to find n. Write the percent as a decimal.
    8·1 answer
  • What formula gives the x coordinate of the maximum value for y=cos(x)
    9·2 answers
  • 5/6x6/7=?? Please answer
    7·1 answer
  • O E. $68.00
    12·2 answers
  • What is necessary to write a number in scientific notation? Select all that apply. A. One factor is greater than 10. B. The numb
    10·1 answer
  • What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
    9·2 answers
  • What categories are the same percentage of the budget? Category Amount spent per month Housing $1,302 Taxes $1,550 Food $558 Clo
    10·2 answers
  • Y = 6x<br> 2х + Зу = -20
    14·1 answer
  • Who burned down Constantinople?<br> O barbarians<br> O crusaders<br> o Egyptians<br> o Turks
    14·2 answers
  • I can not figure out the length of xy
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!