Question

Find the perimeter of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Rectangle topped by a semicircle A rectangle topped by a semicircle. The rectangle has length of 12 meters and width of 10 meters. The circle has diameter 10 meters.

Answer 1

To find the perimeter of the figure, we need to calculate the sum of the lengths of all the sides.

For the rectangle, the length is 12 meters and the width is 10 meters. So, the perimeter of the rectangle is 2 * (12 + 10) = 2 * 22 = 44 meters.

For the semicircle, the diameter is 10 meters, which means the radius is half of the diameter, so the radius is 10 / 2 = 5 meters. The perimeter of a semicircle is the sum of half the circumference of the full circle and the diameter. The circumference of the full circle is 2 * π * radius.

Using an approximate value of π as 3.114, the perimeter of the semicircle is (0.5 * 2 * 3.114 * 5) + 10 = 3.114 * 5 + 10 = 15.57 + 10 = 25.57 meters.

Finally, to find the perimeter of the entire figure, we add the perimeter of the rectangle and the perimeter of the semicircle: 44 + 25.57 = 69.57 meters (approximately).

Therefore, the approximate perimeter of the figure is 69.57 meters.