Unit 3 Quadratics Relations 1 Worksheet Page 6
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45MBF 3C
Name:
BLM 3.1.2
Date:
Quadratics Warm-Up: Activity 2
You have been given 20 sections of chain-link fence to reserve an area in a new park which
will be used as a wading pool in the future. The only instruction from the construction
foreman was to reserve the “biggest rectangular area possible.”
The 20 toothpicks you have will represent the sections of the fence. Use the table below to
design 9 different “pool areas”. On the graph paper provided draw all 9 rectangles (one grid
space = one section of fence) and label them with the correct rectangle label (A, B, C, etc)
Remember, area of a rectangle is length × width!
(Or count the # of squares in the rectangle on your graph paper!)
Rectangle
If the length
Diagram
Then the width
And the area
Label
of the pool
is…
is…
(not drawn to
is…
(units are
scale)
2
sections
)
1 × 9 = 9
1 section
A
9 sections
9
1
1
9
2 sections
B
3 sections
C
4 sections
D
5 sections
E
6 sections
F
7 sections
G
8 sections
H
9 sections
I
2
Conclusion: The maximum area of ________ sections
occurs when the area
is ______ sections long and ______ sections wide
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