Describe the effect of each change on the perimeter and the area of the given figure.

A.The Base and height of the triangle are both doubled

B. The radius of the circle with center (0,0) that passes through (5,0) is multiplied by 3/5

To describe the effect of each change on the perimeter and area of the given figure, we need to understand the formulas for calculating the perimeter and area of a triangle and a circle.

1. Change A: The Base and height of the triangle are both doubled.
- Perimeter of a triangle: The perimeter of a triangle is the sum of the lengths of its three sides.
- Area of a triangle: The area of a triangle can be calculated using the formula (1/2) * base * height.

If we double both the base and height of the triangle, the effect on the perimeter and area will be as follows:
- Perimeter: As the base and height are both doubled, each side of the triangle will also be doubled. Therefore, the perimeter of the triangle will also be doubled.
- Area: The area of the triangle is directly proportional to the base and height. When both the base and height are doubled, the area will be quadrupled (2^2 = 4).

2. Change B: The radius of the circle with center (0,0) that passes through (5,0) is multiplied by 3/5.
- Perimeter of a circle: The perimeter of a circle is also known as its circumference and is calculated using the formula 2 * π * radius.
- Area of a circle: The area of a circle is calculated using the formula π * radius^2.

If we multiply the radius of the circle by 3/5, the effect on the perimeter and area will be as follows:
- Perimeter: The perimeter of a circle is directly proportional to the radius. When the radius is multiplied by 3/5, the perimeter will be reduced by 2/5 or 40% (since 3/5 is equivalent to 60%).
- Area: The area of a circle is proportional to the square of the radius. When the radius is multiplied by 3/5, the area will be reduced by (3/5)^2 = 9/25 or 36% (since (3/5)^2 is equivalent to 36/100).

Remember, these effects are general rules, and the actual values may differ based on the specific measurements of the triangle and circle.