Answer:
Step-by-step explanation:The given figure is made from part of a square and part of a circle. Let's solve for the perimeter and area of this figure.
a. To find the perimeter, we need to calculate the total length around the figure. Since the figure consists of part of a square and part of a circle, we'll need to calculate the lengths of the sides of the square and the circumference of the circle.
First, let's find the length of the sides of the square. If the side length of the square is 5 units, then the perimeter of the square would be 4 times the side length, which is 4 * 5 = 20 units.
Next, let's find the circumference of the circle. The circle is made from a part of it, so we need to calculate the circumference of the entire circle and then find the fraction of it that is included in the figure. The formula to find the circumference of a circle is C = 2πr, where π is approximately 3.14 and r is the radius.
Since the circle is not given in the question, let's assume it has a radius of 5 units. Thus, the circumference of the circle would be C = 2 * 3.14 * 5 = 31.4 units.
Now, let's find the fraction of the circle that is included in the figure. Since the figure is not specified in the question, we'll assume it is a semicircle (half of a circle). So, the fraction of the circle included in the figure is 1/2.
To find the length of the curved part of the figure, we multiply the circumference of the circle by the fraction of the circle included in the figure: 31.4 * 1/2 = 15.7 units.
Now, we can calculate the total perimeter of the figure by adding the length of the sides of the square to the length of the curved part: 20 + 15.7 = 35.7 units.
Therefore, the perimeter of this figure, to the nearest unit, is approximately 36 units.
b. To find the area of the figure, we need to calculate the combined area of the square and the circle.
The area of the square is calculated by multiplying the length of one side by itself. So, the area of the square is 5 * 5 = 25 square units.
The area of the circle is calculated using the formula A = πr^2, where A is the area and r is the radius.
Assuming the radius of the circle is 5 units, the area of the circle is A = 3.14 * 5^2 = 78.5 square units.
To find the total area of the figure, we add the area of the square to the area of the circle: 25 + 78.5 = 103.5 square units.
Therefore, the area of this figure, to the nearest unit, is approximately 104 square units.