Question

Как изменится периметр квадрата, если его сторону увеличить на 45%? Пожааалуйста!!!!!

Answer 1

Его периметр увеличится в 45 %

Answer 2

Calculating the Change in Perimeter of a Square

To calculate the change in perimeter of a square when its side is increased by 45%, we need to understand the formula for the perimeter of a square.

The formula for the perimeter of a square is P = 4s, where P represents the perimeter and s represents the length of one side of the square.

To find the change in perimeter, we can follow these steps:

1. Calculate the original perimeter of the square by multiplying the original side length by 4. 2. Calculate the new side length by increasing the original side length by 45%. 3. Calculate the new perimeter of the square by multiplying the new side length by 4. 4. Find the difference between the new perimeter and the original perimeter to determine the change in perimeter.

Let's go through these steps in detail.

Step 1: Calculate the original perimeter of the square. - Let's assume the original side length of the square is s. - The original perimeter, P_original, can be calculated as P_original = 4s.

Step 2: Calculate the new side length of the square. - To increase the original side length by 45%, we need to multiply it by 1.45. - The new side length, s_new, can be calculated as s_new = s * 1.45.

Step 3: Calculate the new perimeter of the square. - The new perimeter, P_new, can be calculated as P_new = 4s_new.

Step 4: Find the change in perimeter. - The change in perimeter, ΔP, can be calculated as ΔP = P_new - P_original.

Let's calculate the change in perimeter using an example.

Assume the original side length of the square is 10 units.

Step 1: Calculate the original perimeter. - P_original = 4s = 4 * 10 = 40 units.

Step 2: Calculate the new side length. - s_new = s * 1.45 = 10 * 1.45 = 14.5 units.

Step 3: Calculate the new perimeter. - P_new = 4s_new = 4 * 14.5 = 58 units.

Step 4: Find the change in perimeter. - ΔP = P_new - P_original = 58 - 40 = 18 units.

Therefore, if the side length of a square is increased by 45%, the perimeter of the square will increase by 18 units.

Note: The calculations provided above are based on the assumption that the increase in side length is applied uniformly to all sides of the square.