Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any

Question

3 years ago

11

formulas used.

1 answer:

Tju [1.3M] · Answer 1 · 2022-04-13T19:47:43+03:00

Answer:

Step-by-step explanation:

The composite shape consists of a semi circle and a triangle. The formula for determining the perimeter of a semicircle is expressed as

Perimeter = 1/2 × 2πr = πr

Since radius, r = 3, then

Perimeter of semi circle = 3 × 3.14 = 9.42 inches

Perimeter of composite shape = 9.42 + 5 + 5 = 19.42 inches

Area of semi circle = 1/2 × πr²

Area of semicircle = 1/2 × 3.14 × 3² = 14.13 inches²

Area of triangle = 1/2 × base × height

Area of triangle = 1/2 × 6 × 4 = 12 inches²

Area of composite shape = 14.13 + 12 = 26.13 inches²