Answer: 127.63 cm²
Step-by-step explanation:
We are given a composite figure made up of a rectangle and two semi-circles. Together, this gives us a rectangle and a circle. We will find the area of the complete figure.
Area of a rectangle plus the area of a circle:
A = LW + πr²
Substitute given values:
➜ r = W/2 = 5.9/2 = 2.95
A = (17 cm)(5.9 cm) + (3.14)(2.95 cm)²
Square and multiply:
A = 100.3 cm² + (3.14)(8.7025 cm²)
Multiply:
A = 100.3 cm² + 27.32585 cm²
Add:
A = 127.62585 cm²
Round to the nearest hundredth:
A ≈ 127.63 cm²