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put this solution on YOUR website!If you draw the diagram and label the sides and the all radii, you can see that you have eight triangles. Notice that the apothem of each one is the height of each triangle. We can use the Pythagoren Theorem to find the apothem.
5^2 = h^2 + (3/2)^2
25 = h^2 + 9/4
h^2 = 91/4
h = sqrt(91) / 2
The perimeter is easy, just eight sides times 3 inches, or 24 inches.
The area is found by
A = (1/2)ap
A = (1/2)(sqrt(91) / 2)(24)
A = 6*sqrt(91)
