Find area and perimeter of the c shape
Show work
7cm
5cm
5cm
5cm
5cm
7cm
18cm
It is not clear what the dimensions of the C shape are. Please provide more information.
To find the area and perimeter of the "C" shape, we need to first break it down into smaller shapes: two rectangles and two semicircles.
The dimensions of the rectangles are given as follows:
Length: 7 cm
Width: 5 cm
The dimensions of the semicircles are given as follows:
Radii: 5 cm
Now, let's calculate the area and perimeter step by step.
Step 1: Calculate the area of the rectangles.
Area of a rectangle = Length x Width
Rectangle 1:
Area = 7 cm x 5 cm
Area = 35 cm^2
Rectangle 2:
Area = 7 cm x 5 cm
Area = 35 cm^2
Step 2: Calculate the area of the semicircles.
Area of a semicircle = (π x r^2) /2
Semicircle 1:
Area = (π x 5 cm^2) / 2
Area ≈ 7.85 cm^2
Semicircle 2:
Area = (π x 5 cm^2) / 2
Area ≈ 7.85 cm^2
Step 3: Calculate the total area of the "C" shape.
Total Area = Area of Rectangle 1 + Area of Semicircle 1 + Area of Semicircle 2 + Area of Rectangle 2
Total Area = 35 cm^2 + 7.85 cm^2 + 7.85 cm^2 + 35 cm^2
Total Area ≈ 85.7 cm^2
Step 4: Calculate the perimeter of the "C" shape.
Perimeter of the "C" shape = Perimeter of Rectangle 1 + Perimeter of Semicircle 1 + Perimeter of Semicircle 2 + Perimeter of Rectangle 2 + Length of Line connecting the Rectangles
Perimeter of Rectangle = 2 x (Length + Width)
Perimeter of Rectangle 1 = 2 x (7 cm + 5 cm)
Perimeter of Rectangle 1 = 2 x 12 cm
Perimeter of Rectangle 1 = 24 cm
Perimeter of Rectangle 2 = 2 x (7 cm + 5 cm)
Perimeter of Rectangle 2 = 2 x 12 cm
Perimeter of Rectangle 2 = 24 cm
Perimeter of Semicircle = π x Diameter + Diameter (since it's a semicircle)
Perimeter of Semicircle 1 = π x 5 cm + 5 cm
Perimeter of Semicircle 1 ≈ 15.71 cm
Perimeter of Semicircle 2 = π x 5 cm + 5 cm
Perimeter of Semicircle 2 ≈ 15.71 cm
Length of Line connecting the Rectangles = 18 cm
Perimeter of the "C" shape = 24 cm + 15.71 cm + 15.71 cm + 24 cm + 18 cm
Perimeter of the "C" shape ≈ 97.42 cm
Thus, the area of the "C" shape is approximately 85.7 cm^2 and the perimeter is approximately 97.42 cm.