Question

Please help Emergency

A semicircle is attached to the side of a rectangle as shown.

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.

Select from the drop-down menu to correctly complete the statement.
The area is m².

A rectangle with a length of 6 m and a height of 2 m has a semi circle attached to the long side with a length of 3 m.

Answer 1

To find the area of the figure, we need to calculate the area of the rectangle and the area of the semicircle, then add them together.

Area of Rectangle:

Length of rectangle = 6 m

Height of rectangle = 2 m

Area of rectangle = Length × Height = 6 m × 2 m = 12 m²

Area of Semicircle:

Radius of semicircle = Length of semicircle / 2 = 3 m / 2 = 1.5 m

Area of semicircle = (π × Radius^2) / 2 ≈ (3.14 × 1.5^2) / 2 ≈ (3.14 × 2.25) / 2 ≈ 3.5355 m² (rounded to four decimal places)

Total Area:

Total area = Area of rectangle + Area of semicircle ≈ 12 m² + 3.5355 m² ≈ 15.5355 m² (rounded to four decimal places)

So, the best approximation for the area of the figure is 15.54 m² (rounded to two decimal places).

Explanation: