The lengths of the sides of the quadrilateral are expressed in consecutive even numbers.

The lengths of the sides of the quadrilateral are expressed in consecutive even numbers. Find the perimeter of the quadrilateral, knowing that the sum of the shortest and longest sides is equal to 70 cm.

The sides of a quadrilateral are consecutive even numbers.

It is known that the sum of the lengths of the smallest and largest sides is 70 cm.

The main thing here is to understand how to express the sides of the quadrilateral through each other.

Let’s introduce variables.

Let x be the smallest side of the quadrilateral, an even number. Then the next side is (x + 2) cm, the third is (x + 2 + 2) cm, the fourth is (x + 2 + 2 + 2) cm.

Let’s write down the condition:

x + x + 6 = 70;

2 * x = 64;

x = 32;

x + 2 = 34;

x + 4 = 36;

x + 6 = 38.

P = 32 + 34 + 36 + 38 = 140 cm.