Calculate the area of the regular pentagon below:
A regular pentagon with side length of 22.3 inches and dotted line from center to middle of side of 15.4 inches.
686.84 square inches
732.34 square inches
858.55 square inches
1717.1 square inches
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Nameless:
thats the one
jimthompson5910:
The regular pentagon breaks up into 5 identical triangles (all of the triangles have the same area). Calculate the area of one triangle, then multiply by 5 to get the area of the pentagon.
Area of triangle = 0.5*base*height
|dw:1610560206596:dw|
jimthompson5910:
|dw:1610560295038:dw|
Nameless:
thats correct
Nameless:
what da answer
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jimthompson5910:
If the base is 22.3 and height is 15.4, whats the area of the triangle?
|dw:1610560497272:dw|
Nameless:
|dw:1610560557344:dw|
Nameless:
|dw:1610560640998:dw|
Nameless:
7.7 times 5 equals 38.5
jimthompson5910:
not sure how you're getting those numbers
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jimthompson5910:
you should use 22.3 and 15.4
Nameless:
oh ok
Nameless:
Its 858.55
jimthompson5910:
The area of one triangle is
0.5*b*h
0.5*22.3*15.4
171.71
So the area of five of the triangles is 5*171.71 = 858.55
which is the area of the pentagon. You have the correct answer
Nameless:
i do
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