The sides of the rectangle are 9 m and 4 m. Find the side of a square that has the same area.

From the condition it is known that the sides of the rectangle are equal to 9 m and 4 m. And we need to find the side of a square that has the same area.

That is, first of all, we need to find the area of the rectangle. Let’s apply the formula for this:

S = a * b.

The area of a rectangle is equal to the product of the lengths of its sides.

It remains to substitute the values and calculate:

S = 9 * 4 = 36 m ^ 2.

To find the area of a square, use the formula:

S = a ^ 2.

We substitute the area value into the formula and find the side:

a ^ 2 = 36;

a = 6 m side of the square.