The perimeter of the quadrilateral is 76 cm. Find the sides if they are 2: 5: 4: 8.

From the condition, we know that the perimeter of the quadrangle is 76 meters. And it is also known that the lengths of its sides are related as 2: 5: 4: 8.

In order to find the lengths of the sides of a quadrilateral, we will compose and solve a linear equation.

Let’s start with the fact that we introduce the coefficient of similarity k and then the lengths of the sides of the quadrangle can be written as 2k; 5k; 4k and 8k.

The perimeter is the sum of the lengths of all sides of the quadrilateral:

2k + 5k + 4k + 8k = 76;

k (2 + 5 + 4 + 8) = 76;

19k = 76;

k = 76: 19;

k = 4.

Side lengths: 2 * 4 = 8 m; 5 * 4 = 20 m; 4 * 4 = 16 m; 8 * 4 = 32 m.