Calculate the perimeter and area of a rectangle with sides 5cm and 7cm and the length of a side

Calculate the perimeter and area of a rectangle with sides 5cm and 7cm and the length of a side of a square with the same perimeter.

Find the perimeter of the rectangle using the formula:

P = 2 (a + b);

P = 2 (5 + 7) = 2 * 12 = 24 cm;

Let’s find the area of the rectangle by the formula:

S = a * b;

S = 5 * 7 = 35 cm ^ 2;

The perimeter of the square is calculated by the formula:

P = 4a;

We know that the perimeter of the square is equal to the perimeter of the rectangle, we equate them and find the side of the square:

4 * a = 24;

a = 24: 4;

a = 6 cm.

Answer: the perimeter of the rectangle is 24 cm, the area of the rectangle is 35 cm ^ 2, and the side of a square with the same perimeter is 6 cm.