The area of a rectangle or square A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square. The area of a rectangle is calculated as follows: Area = base x height = b × h In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle is. For example, if we have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows: 200cm² Area 20 cm x 10 cm = 200 cm² Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion. The area of a triangle A triangle is really just a rectangle cut in half, so our formula Is Just ½ times the formula for the area of a rectangle: Area = ½ xbxh For example, the area of a triangle that is 18 units tall and 40 units wide would be calculated as follows: Area = 1 × 40 × 18 = 40 × 18 = 360 units2 Use the data in the table below to answer the following questions X-variable 8 Y-variable 8 Point A 8 5 B 30 S с 8 4 D 40 4 E 3 F 30 3 G H Plot the points ABC on the graph. Instructions: Click the 3-point shader tool called "ABC" and then click on the graph. This will place a triangle on the graph. Click and drag each of the end points of the shaded area until the triangle highlights the desired region. A 8. 7- 6. 5- 3. 2- 1- 0- 0 10 20 30 81 40 Calculate the following area: The Area ABC = units 2 ABC
The area of a rectangle or square A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square. The area of a rectangle is calculated as follows: Area = base x height = b × h In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle is. For example, if we have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows: 200cm² Area 20 cm x 10 cm = 200 cm² Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion. The area of a triangle A triangle is really just a rectangle cut in half, so our formula Is Just ½ times the formula for the area of a rectangle: Area = ½ xbxh For example, the area of a triangle that is 18 units tall and 40 units wide would be calculated as follows: Area = 1 × 40 × 18 = 40 × 18 = 360 units2 Use the data in the table below to answer the following questions X-variable 8 Y-variable 8 Point A 8 5 B 30 S с 8 4 D 40 4 E 3 F 30 3 G H Plot the points ABC on the graph. Instructions: Click the 3-point shader tool called "ABC" and then click on the graph. This will place a triangle on the graph. Click and drag each of the end points of the shaded area until the triangle highlights the desired region. A 8. 7- 6. 5- 3. 2- 1- 0- 0 10 20 30 81 40 Calculate the following area: The Area ABC = units 2 ABC
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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No hand written responses, I need help with plotting the graph and with the finding the area of ABC in units.
Transcribed Image Text:The area of a rectangle or square
A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides
of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the
procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square.
The area of a rectangle is calculated as follows:
Area = base x height = b × h
In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle is. For example, if we
have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows:
200cm²
Area 20 cm x 10 cm = 200 cm²
Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we
are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion.
The area of a triangle
A triangle is really just a rectangle cut in half, so our formula Is Just ½ times the formula for the area of a rectangle:
Area
=
½ xbxh
For example, the area of a triangle that is 18 units tall and 40 units wide would be calculated as follows:
Area
=
1 × 40 × 18 = 40 × 18 = 360 units2
Use the data in the table below to answer the following questions
X-variable
8
Y-variable
8
Point
A
8
5
B
30
S
с
8
4
D
40
4
E
3
F
30
3
G
H
Plot the points ABC on the graph.
Instructions: Click the 3-point shader tool called "ABC" and then click on the graph. This will place a triangle on the graph. Click and
drag each of the end points of the shaded area until the triangle highlights the desired region.
A
8.
7-
6.
5-
3.
2-
1-
0-
0
10
20
30
81
40
Calculate the following area:
The Area ABC =
units 2
ABC
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