B4

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course mth 158

9/5 3

Question: `q001. There are 11 questions and 7 summary questions in this assignment. What is the area of a rectangle whose dimensions are 4 m by 3 meters.

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Your solution:

4 meters*3 meters=12 square meters

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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:

4 meters * 3 meters= 12m^2/ 1/2= 6m^2

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3

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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:

5 meters * 2 meters= 10m^2

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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:

1/2 *5cm * 2cm= 1/2* 10cm^2=5cm^2

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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:

4km * 5km= 20km^2

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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:

93cm+8cm)/2= 5.5cm

4cm* 5.5cm= 22cm^2

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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:

pi*(3cm)^2= 9 pi cm^2

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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:

2 pi *3cm= 6 pi cm

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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:

pi (6m)^2= 36 pi m^2

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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:

14 pi m/ (2 pi)= (14/2)* (pi/pi) m= 7 * 1m= 7m

pi* (7m)^2= 49 pi m^2

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Question: `q011. What is the radius of circle whose area is 78 square meters?

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Your solution:

sprt(78 m^2/ pi)= sqrt(78/ pi)m

r= 5m

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Question: `q012. Summary Question 1: How do we visualize the area of a rectangle?

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Your solution:

We visualize the area by seeing it covered in rows and then we multiply the squares in the rows by the number of rows that are in the rectangle.

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Question: `q013. Summary Question 2: How do we visualize the area of a right triangle?

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Your solution:

We visualize it by breaking it into rows and then mulitiply the base and height, but we think of it as half a rectangle so we divide then answer by 1/2 to get the area of a right triangle.

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Question: `q014. Summary Question 3: How do we calculate the area of a parallelogram?

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Your solution:

You multiply the base times the altitude to get the area.

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Question: `q015. Summary Question 4: How do we calculate the area of a trapezoid?

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Your solution:

You multiply the average altitude by the width.

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Question: `q016. Summary Question 5: How do we calculate the area of a circle?

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Your solution:

You use the formula A=pi r^2

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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:

We use the formula C=2 pi r

Area uses r^2 but circumference does not

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Question: `q018. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.

I took the questions a step at a time and used what I did in the previous to help with the one that followed and just added to the new things I was learning. The formulas that I did not know I wrote down so I can remember them.

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