The sides of the parallelogram are 3: 1 and its perimeter is 40 cm, find the sides of the parallelogram.

Given:

ABCE – parallelogram,

AB: BC = 3: 1,

the perimeter of ABCE is 40 centimeters.

Find the lengths of the sides of the parallelogram ABCE: AB, CE, BC, AE -?

Solution:

Consider a parallelogram ABCE. Its opposite sides are equal to each other, then BC = AE, AB = CE.

Let the length of the BC side be x centimeters, then the length of the AB side = 3 * x centimeters. We know that the ABCE perimeter is 40 centimeters. Let’s make the equation:

P avce = AB + CE + BC + AE;

40 = x + x + 3 * x + 3 * x;

8 * x = 40;

x = 40: 8;

x = 40: 8;

x = 5 centimeters – the lengths of the sides BC and AE;

5 * 3 = 15 centimeters – the lengths of the sides AB and CE.

Answer: 5 centimeters; 5 centimeters; 15 centimeters; 15 centimeters.