Find the perimeter of the rectangle if its area is 540 centimeters squared, the sides are directly

Find the perimeter of the rectangle if its area is 540 centimeters squared, the sides are directly proportional to the numbers 3 and 5.

In order to find the perimeter of a rectangle, we must know the length and width of the rectangle.

P = 2 (a + b);

From the condition, we know that the area of the rectangle is 540 cm2, and we also know that the sides are proportional to the numbers 3: 5.

Let’s use the coefficient of similarity k, write down the lengths of the sides 3k and 5k.

Let’s remember and apply the formula for finding the area:

S = a * b;

3k * 5k = 540;

15k ^ 2 = 540;

k ^ 2 = 540: 15;

k ^ 2 = 36;

k = 6.

So, the sides of the rectangle are 3 * 6 = 18 cm and 5 * 6 = 30 cm.

We are looking for the perimeter of the rectangle:

P = 2 (a + b) = 2 (18 + 30) = 2 * 48 = 96 cm.