Could anybody help me w/Geometry?

Find the perimeter of 6 regular octagons linked together as shown in the figure below, if one side is 2.5 inches

Here's the figure: http://tinypic.com/r/ameczb/4

The answer I've gotten is 42 times 2.5 = 105.

42 is how many sides I've counted on the octagons.

Next Question: One side of the square measures 3 cm. The triangle created from two of the common sides is a right triangle. Find the area (to the nearest tenth) of the entire figure.

Here's the image: http://tinypic.com/r/6qwm02/4

Now, I'm really confused on this one, do you guys know?

2 Answers

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  • 1 decade ago
    Best Answer

    48 total sides, 4 share two common sides, 2 share one common side.

    38 unique sides, 38 x 2.5 = 95in

    Area of a square = base x height

    Area of a triangle = 1/2 x base x height

    3 x 3 = 9

    two squares, so 9 x 2 = 18

    one triangle, so 1/2 x 9 = 4.5

    18 + 4.5 = 22.5cm^2

  • 1 decade ago

    1. I counted 38 sides 38 times 2.5 = 95

    2. the area of a sq is L * W so one sq is 3 * 3 = 9

    the area of a triangle is 1/2(L * W) so 1/2(3 * 3) = 4.5

    you have 2 sq and one triangle so 9 + 9 + 4.5 = 22.5 sq in

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