A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use for 3.14.

The rectangle is 4 inches long and 3 inches wide. The semi-circle sits on top of the rectangle on a side that is 4 inches long.

What’s the answer what’s the area and perimeter

A= 18.28 sq. in.

P= 16.28 in

go with Damon's perimeter,

I did not pick up my typo, had 2+4+3+(1/2)2π(2)
instead of 3+4+3+(1/2)2π(2)

What is the answer

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

1. Rectangle:
The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 4 inches and the width is 3 inches.
Area of rectangle = length × width = 4 inches × 3 inches = 12 square inches.

The perimeter of a rectangle is calculated by adding all four sides. In this case, the length is 4 inches and the width is 3 inches.
Perimeter of rectangle = 2 × (length + width) = 2 × (4 inches + 3 inches) = 2 × 7 inches = 14 inches.

2. Semicircle:
The area of a semicircle is calculated by taking half the area of a full circle. The formula for the area of a circle is A = πr^2, where π (pi) is approximately 3.14 and r is the radius. In this case, the radius is half the side length of the rectangle, which is 2 inches.
Area of semicircle = (1/2) × π × r^2 = (1/2) × 3.14 × (2 inches)^2 = (1/2) × 3.14 × 4 square inches = 6.28 square inches.

To find the perimeter of the semicircle, we need to add the curved part of the semicircle and the straight side of 4 inches.
Perimeter of semicircle = π × diameter/2 + side = 3.14 × 4 inches/2 + 4 inches = 6.28 inches + 4 inches = 10.28 inches.

3. Finally, we add the areas and perimeters of the rectangle and the semicircle:
Total Area = Area of rectangle + Area of semicircle = 12 square inches + 6.28 square inches = 18.28 square inches.
Total Perimeter = Perimeter of rectangle + Perimeter of semicircle = 14 inches + 10.28 inches = 24.28 inches.

Therefore, the area of the figure is approximately 18.28 square inches and the perimeter is approximately 24.28 inches.

area = the rectangle + half the circle

= 3*4 + (1/2)π(2^2)
= 12 + 2π in^2
= ...

perimeter, (I guess we are not counting the one length)
= 2+4+3+(1/2)2π(2)
= 9 + 2π inches
= ...

semi circle

radius = 2
perimeter = 2 pi r/2 = pi r = pi * 2 in
area = (1/2) pi r^2 = (1/2) pi * 4 = pi * 2 in^2
rectangle
bottom = 4 in and 2 sides of 3 in each
perimeter = 4 + 2*3 = 10 in
area = 4*3 = 12 in^2
so
perimeter = 10 + 2 pi
area = 12 + 2 pi