The sides of the parallelogram are proportional to numbers 4 and 5 find the larger side

The sides of the parallelogram are proportional to numbers 4 and 5 find the larger side if the perimeter of the parallelogram is 10.8 cm

To find the sides of a parallelogram, we will compose and solve an equation. Let’s start by recalling the formula for finding the perimeter of a parallelogram.

Let’s start by analyzing the conditions of the side of the parallelogram are proportional to the numbers 4: 5. And the perimeter of the parallelogram is also known – 10.8 cm.

We introduce the coefficient k and write the lengths of the sides of the parallelogram as 4k and 5k.

P = 2 (a + b);

2 (4k + 5k) = 10.8;

4k + 5k = 10.8: 2;

k (4 + 5) = 5.4;

9k = 5.4;

k = 5.4: 9;

k = 0.6.

The sides of the parallelogram are 4 * 0.6 = 2.4 cm and 5 * 0.6 = 3 cm.