The perimeter of the shape is 128.52
The area of the shape is 217.30 units square
The shape is made up of a rectangle and four semicircles.
A rectangle is a quadrilateral with four sides.
Area of a rectangle = length x width
5 x 13 = 65 units square
Perimeter of the rectangle = 2 (length + width)
2 x (13 + 5)
2 x 18
= 36
The semicircles have 2 big semicircles and two small semicircles.
Area of a semicircle = [tex]\frac{1}{2}[/tex]πr²
Circumference of the semicircle = πr + 2r
where:
π = 3.14 = pi
D = diameter
r = radius
Area of the big semicircles
Radius = 13/2 = 6.5
Area = [tex]\frac{1}{2}[/tex] x 3.14 x 6.5² = 66.3325
Area of the two big semicircles = 66.3325 x 2 = 132.67 units square
Area of the small semicircles
Radius = 5/2 = 2.5
Area = [tex]\frac{1}{2}[/tex] x 3.14 x 2.5² = 9.8125
Area of the two small semicircles = 9.8125 x 2 = 19.63 units square
Circumference of the small semicircles
Circumference = (3.14 x 2.5) + (2 x 2.5) = 12.85
Circumference of the two small semicircles = 12.85 x 2 = 25.70
Circumference of the big semicircles
Circumference = 3.14 x 6.5) + (2 x 6.5) = 33.41
Circumference of the two big semicircles = 33.41 x 2 = 66.82
Perimeter of the shape
The perimeter of the shape is the sum of the perimeter of the rectangle and the perimeter of the semicircles
36 + 66.82 + 25.70 = 128.52
Area of the shape
The area of the shape is the sum of the area of the rectangle and the area of the semicircles.
65 + 19.63 + 132.67 = 217.30 units square
To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958?referrer=searchResults
