Question

The distance around the half-circle is about 37.68 inches. Now add the distance around the half-circle plus the two sides of the triangle to find the approximate perimeter of the entire shape. 24 in+24 in+24 in+37.68 in = ?

Answer 1

To find the perimeter of the composite shape featuring a half-circle and a triangle, we add the lengths of the triangle's three sides and the distance around the half-circle to get an approximate perimeter of 109.68 inches.

Step-by-step explanation:

The question involves finding the perimeter of a composite shape that includes a half-circle and a triangle. To compute the perimeter of this shape, we add the lengths of all its sides. In this case, the lengths of the triangle's sides are each given as 24 inches, and the distance around the half-circle (the semicircle's perimeter) is given as 37.68 inches. Therefore, the calculation to find the perimeter is:

Perimeter = 24 in + 24 in + 24 in + 37.68 in

The sum of these lengths gives us:

Perimeter = 24 in + 24 in + 24 in + 37.68 in = 109.68 inches.

This means the approximate perimeter of the entire shape is 109.68 inches.