Question

the blade is a circle and has a circumference of approximately inches. the handle is a rectangle and has a perimeter of approximately inches. accounting for where the blade and the handle meet, the perimeter of the paddle is approximately inches.

Explanation:

Step1: Find circumference of the circular part

The formula for the circumference of a circle is $C = \pi d$. Given the diameter of the circular blade is 10 inches, so $C=\pi\times10\approx 3.14\times 10 = 31.4$ inches.

Step2: Find perimeter of the rectangular handle

The handle has dimensions 2 inches (assuming width) and some length. But we are only interested in the part that contributes to the outer - perimeter. Let's assume the handle's relevant part for perimeter calculation is 2 inches (width).

Step3: Calculate total perimeter

The total perimeter of the paddle is the sum of the circular part's circumference and the non - overlapping part of the handle. Since the handle meets the blade, we consider the width of the handle that is part of the outer - perimeter. So the perimeter $P\approx31.4 + 2=33.4$ inches.

Answer:

Approximately 33.4 inches