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Example 6-1a
Name the polygon by its number of sides. Then
classify it as convex or concave, regular or
irregular.
There are 4 sides, so this is a quadrilateral.
No line containing any of the sides will pass
through the interior of the quadrilateral, so it
is convex.
The sides are not congruent, so it is irregular.
Answer quadrilateral, convex, irregular
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Example 6-1b
Name the polygon by its number of sides. Then
classify it as convex or concave, regular or
irregular.
There are 9 sides, so this is a nonagon.
A line containing some of the sides will pass
through the interior of the nonagon, so it is
concave.
The sides are not congruent, so it is irregular.
Answer nonagon, concave, irregular
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Example 6-1c
Answer triangle, convex, regular
Answer quadrilateral, convex, irregular
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Example 6-2a
CONSTRUCTION A masonry company is contracted to
lay three layers of decorative brick along the
foundation for a new house given the dimensions
below. Find the perimeter of the foundation and
determine how many bricks the company will need
to complete the job. Assume that one brick is 8
inches long.
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Example 6-2b
First, find the perimeter.
Add the lengths of the sides.
The perimeter of the foundation is 216 feet.
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Example 6-2c
Answer The builder will need 324 bricks for each
layer. Three layers of bricks are needed, so the
builder needs 324 3 or 972 bricks.
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Example 6-3a
Find the perimeter of pentagon ABCDE with A(0,
4), B(4, 0), C(3, 4), D(3, 4), and E(3, 1).
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Example 6-3b
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Example 6-3c
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Example 6-3d
Find the perimeter of quadrilateral WXYZ with
W(2, 4), X(3, 3), Y(1, 0), and Z(3, 1).
Answer about 17.9 units
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Example 6-4a
The width of a rectangle is 5 less than twice its
length. The perimeter is 80 centimeters. Find
the length of each side.
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Example 6-4b
Perimeter formula for rectangle
Multiply.
Simplify.
Add 10 to each side.
Divide each side by 6.
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Example 6-4c
The length of a rectangle is 7 more than five
times its width. The perimeter is 134 feet. Find
the length of each side.