Question
A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41.4 square centimeters.
What is the length of the longer side of the rectangle?
Use 3.14 for π.
Enter your answer as decimal in the box.
What is the length of the longer side of the rectangle?
Use 3.14 for π.
Enter your answer as decimal in the box.
Answers
GPT 3.5
The area of the rectangle can be calculated by adding the area of the rectangle and the area of the semicircle.
Area of rectangle = length x width
Area of rectangle = x x 4
Area of semicircle = 1/2 x π x r^2
Area of semicircle = 1/2 x 3.14 x (4/2)^2
Total area = 41.4 cm^2
41.4 = x(4) + 1/2(3.14)(2^2)
41.4 = 4x + 6.28
4x = 35.12
x = 8.78
Therefore, the longer side of the rectangle is 8.78 centimeters.
Area of rectangle = length x width
Area of rectangle = x x 4
Area of semicircle = 1/2 x π x r^2
Area of semicircle = 1/2 x 3.14 x (4/2)^2
Total area = 41.4 cm^2
41.4 = x(4) + 1/2(3.14)(2^2)
41.4 = 4x + 6.28
4x = 35.12
x = 8.78
Therefore, the longer side of the rectangle is 8.78 centimeters.
Related Questions
A certain 7 sided polygon has sides with 7 different lengths. The first side is the longest. The sec...
A semicircle is drawn onto one of the longer sides of a rectangle. The longer side of the rectangle...
A semicircle is drawn onto one of the longer sides of a rectangle. The longer side of the rectangle...
A quarter-circle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rect...