A semicircle is drawn onto one of the longer sides of a rectangle. The longer side of the rectangle measures 10 centimeters. The area of the figure is 51.4
square centimeters.
What is the length of the shorter side of the rectangle?
Use 3.14 for tt .
First, let's find the radius of the semicircle. Since it is drawn on the longer side of the rectangle, the radius is half of the longer side, which is 5 centimeters.
The area of the semicircle is given by the formula A = (1/2) * π * r^2, where r is the radius.
Substitute the values we know:
51.4 = (1/2) * 3.14 * 5^2
51.4 = (1/2) * 3.14 * 25
51.4 = 39.25
Now, we can find the area of the rectangle by subtracting the area of the semicircle from the total area of the figure:
Area of rectangle = Total area - Area of semicircle
Area of rectangle = 51.4 - 39.25
Area of rectangle = 12.15 square centimeters
Since the longer side of the rectangle is 10 centimeters, we can find the shorter side by dividing the area by the longer side:
Shorter side = Area / Longer side
Shorter side = 12.15 / 10
Shorter side = 1.215
Therefore, the length of the shorter side of the rectangle is 1.215 centimeters.