course Mth 271
001. Areas *********************************************
Question: `q001. What is the area of a rectangle whose dimensions are 4 m by 3 meters.
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Your solution:
A = lw
A = (3)(4)
A = 12
Confidence Assessment:
Great
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the area, I used the rectangle are equation and plugged in the given values.
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Question: `q002. What is the area of a right triangle whose legs are 4.0 meters and 3.0 meters?
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Your solution:
A = ½(l)(w)
A = ½(3)(4)
A = 6
Confidence Assessment:
Great
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the area, I used the area equation of a right triangle.
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Question: `q003. What is the area of a parallelogram whose base is 5.0 meters and whose altitude is 2.0 meters?
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Your solution:
A = bh
A = (5)(2)
A = 10
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the area, I used the area equation of a parallelogram
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Question: `q004. What is the area of a triangle whose base is 5.0 cm and whose altitude is 2.0 cm?
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Your solution:
A = 1/2bh
A = ½(5)(2)
A = 5
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the area, I used the area equation of a triangle, 1/2bh
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Question: `q005. What is the area of a trapezoid with a width of 4.0 km and average altitude of 5.0 km?
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Your solution:
A = bh
A = (4)(5)
A = 20
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the solution, I used the area equation for the trapezoid where height is the average.
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Question: `q006. What is the area of a trapezoid whose width is 4 cm in whose altitudes are 3.0 cm and 8.0 cm?
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Your solution:
A = (4)(1/2(3+8))
A = (4)(5.5)
A = 22
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the solution, I used the area equation for the trapezoid where height is the average.
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Question: `q007. What is the area of a circle whose radius is 3.00 cm?
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Your solution:
A = pi(r)^2
A = 3.14(3)^2
A = 3.14(9)
A = 28.27
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the area, I used the area equation for a circle.
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Question: `q008. What is the circumference of a circle whose radius is exactly 3 cm?
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Your solution:
C = 2pi( r)
C = 2pi(3)
C = 18.85
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the circumference, I used the equation for the circumference of a circle
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Question: `q009. What is the area of a circle whose diameter is exactly 12 meters?
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Your solution:
D = 1/2r
D = ½(12)
D = 6
A = pi(D)^2
A = pi(6)^2
A = pi(36)
A = 113.09
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
To find the area of a circle using the diameter, I first had to use the equation d = 1/2r where d is the diameter and r is the radius. Once I solved for d using the provided value, I was able to use the area equation of a circle to find the value.
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Question: `q010. What is the area of a circle whose circumference is 14 `pi meters?
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Your solution:
C = 2pi( r)
14 = 2pi( r)
I don’t understand how you obtained the next value. When I enter the above equation into my calculator, I obtained 2.29 rather than 7. I understand how to use the value I obtain from this equation to get the area, I just don’t understand how you got the value for r.
Confidence Assessment:
Not good
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Self-critique (if necessary):
See above.
Self-critique Rating:
I don’t understand the steps you took to obtain the value of the radius.
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Question: `q011. What is the radius of circle whose area is 78 square meters?
Your solution:
A = pi( r)^2
78 = pi( r)^2
24.83 = r^2
r = 4.98
Confidence Assessment:
OK
Self-critique (if necessary):
OK
Self-critique Rating:
To obtain the answer, I used the area equation of a circle and solved for the radius.
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Question: `q012. Summary Question 1: How do we visualize the area of a rectangle?
Your solution:
I visualize the area of a rectangle as each unit being a square and each row and column being made up of several rows of square units.
Confidence Assessment:
Great.
Self-critique (if necessary):
OK
Self-critique Rating:
I used logic skills to solve this problem.
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Question: `q013. Summary Question 2: How do we visualize the area of a right triangle?
Your solution:
I visualize the area of a right triangle the same way I visualize a rectangle, as made up for square units that fill the space.
Confidence Assessment:
OK
Self-critique (if necessary):
OK
Self-critique Rating:
I used logic skills to answer this question.
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Question: `q014. Summary Question 3: How do we calculate the area of a parallelogram?
Your solution:
The area of a parallelogram is calculated by multiplying the base by the height.
Confidence Assessment:
Great
Self-critique (if necessary):
Great
Self-critique Rating:
The answer is just my knowledge of a given area equation.
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Question: `q015. Summary Question 4: How do we calculate the area of a trapezoid?
Your solution:
The area of trapezoid is calculated by multiplying the height by the sum of the bases.
Confidence Assessment:
OK
Self-critique (if necessary):
OK
Self-critique Rating:
The answer is just my knowledge of a given area equation.
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Question: `q016. Summary Question 5: How do we calculate the area of a circle?
Your solution:
The area of a circle is found my multiplying the value of pi by the value of the radium squared.
Confidence Assessment:
OK
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Self-critique (if necessary):
OK
Self-critique Rating:
The answer is just my knowledge of a given area equation.
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Question: `q017. Summary Question 6: How do we calculate the circumference of a circle? How can we easily avoid confusing this formula with that for the area of the circle?
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Your solution:
The circumference of a circle is found by multiplying the value of pi by the value of twice the radius, or the value of pi multiplied by the diameter.
Confidence Assessment:
OK
Self-critique (if necessary):
OK
Self-critique Rating:
The answer is just my knowledge of a given area equation.
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Question: `q018. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.
Self-critique (if necessary):
This was a great refresher for me on the area and circumference of different shapes.
Self-critique Rating:
See above.
&#Very good responses. Let me know if you have questions. &#