Question

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an athletics shop makes ping pong paddles. a rubber trim is glued along the entire edge of the paddle. approximately how long is the trim?
image of a paddle: a circle (blade) with a rectangle (handle) on top. the handle is 2 in wide, and the total height from bottom of blade to top of handle is 10 in.
the blade is a circle and has a circumference of approximately drop - down inches. the handle is a rectangle and has a perimeter of approximately drop - down inches. accounting for where the blade and the handle meet, the perimeter of the paddle is approximately drop - down inches.

Explanation:

Step1: Find circle diameter

The total length of the paddle is 10 in, and the handle is 2 in. So the diameter of the circular blade is:
$d = 10 - 2 = 8$ inches

Step2: Calculate circle circumference

Use the circumference formula $C=\pi d$. Approximate $\pi\approx3.14$:
$C = 3.14\times8 = 25.12$ inches

Step3: Calculate handle's exposed perimeter

The handle is a rectangle with width equal to the circle's diameter (8 in) and height 2 in. When attached to the blade, one long side is covered, so we calculate 2 short sides + 1 long side:
$P_{handle} = 2\times2 + 8 = 12$ inches

Step4: Sum for total trim length

Add the circle's circumference and the handle's exposed perimeter:
$Total = 25.12 + 12 = 37.12$ inches

Answer:

The blade is a circle and has a circumference of approximately 25.12 inches. The handle is a rectangle and has a perimeter of approximately 12 inches. Accounting for where the blade and the handle meet, the perimeter of the paddle is approximately 37.12 inches.