The sides of the rectangle are 6.4 dm and 2.1 dm The perimeter of the square is 80%

The sides of the rectangle are 6.4 dm and 2.1 dm The perimeter of the square is 80% of the perimeter of the rectangle, then the side of the square is …

Let’s start the solution by calculating the perimeter of the rectangle, apply the formula for this:

P = 2 (a + b).

We substitute the values into the formula and perform the calculations:

P = 2 (6.4 + 2.1) = 2 * 8.5 = 17 dm.

Let’s calculate the perimeter of the square, we know from the condition that it is 80% of the perimeter of the rectangle.

So, we are looking for a percentage of the number:

17 * 0.8 = 13.6 dm.

We just have to remember the formula for calculating the perimeter of a square:

P = 4a;

Let us express the length of the side from the formula:

a = P / 4 ;.

we substitute the values into the formula and find:

a = 13.6 / 4 = 3.4 in. side of the square.