1. Use grid paper to draw all rectangles that have a perimeter of 24 units. Record their dimensions in the table below and calculate the area for each. Assume that only whole squares can be used (side lengths must be natural numbers). Base 6 9 3 Height 6 3 9 Area 33 27 27 2. If the base of a rectangle is x units, determine the height so that the perimeter would be 24 units. 3. Using number 2, determine a formula for the area, A(x), of a rectangle with a base of x units and perimeter 24 units.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2 of 3
4. Graph the equation you found in 3 (label the scale on the y-axis or A(x) axis so that key
features of your graph fit). What is the name of this type of graph? What is the vertex point?
-7-6-5
b
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-2-1
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12345
1
7 8 9 10
5. Connect your graph to the rectangles you found in item 1. Where are these represented on
your graph? How do the other points on the graph fit into this situation?
Transcribed Image Text:2 of 3 4. Graph the equation you found in 3 (label the scale on the y-axis or A(x) axis so that key features of your graph fit). What is the name of this type of graph? What is the vertex point? -7-6-5 b पं -2-1 OF 12345 1 7 8 9 10 5. Connect your graph to the rectangles you found in item 1. Where are these represented on your graph? How do the other points on the graph fit into this situation?
1. Use grid paper to draw all rectangles that have a perimeter of 24 units. Record their
dimensions in the table below and calculate the area for each. Assume that only whole
squares can be used (side lengths must be natural numbers).
Base
9
3
Height
6
3
q
Area
33
27
27
2. If the base of a rectangle is x units, determine the height so that the perimeter would be 24
units.
3. Using number 2, determine a formula for the area, A(x), of a rectangle with a base of x units
and perimeter 24 units.
Transcribed Image Text:1. Use grid paper to draw all rectangles that have a perimeter of 24 units. Record their dimensions in the table below and calculate the area for each. Assume that only whole squares can be used (side lengths must be natural numbers). Base 9 3 Height 6 3 q Area 33 27 27 2. If the base of a rectangle is x units, determine the height so that the perimeter would be 24 units. 3. Using number 2, determine a formula for the area, A(x), of a rectangle with a base of x units and perimeter 24 units.
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