The 2 sides of a parallelogram are 3: 4 perimeter = 70. Find the larger side

1. A, B, C, D – the tops of the parallelogram. Perimeter (P) = 70 centimeters. AВ / BP = 3/4.

2. We take the length of the side AB as x, the length of the side AD as y.

Let’s make two equations:

x / y = 3/4; x = 3y / 4;

2 (x + y) = 70; x + y = 35.

3. Substitute the value x = 3y / 4 into the second equation:

3y / 4 + y = 35;

(3y + 4y) 4 = 35;

7y = 140;

y = 20; Substitute y = 20 into the second equation:

x + 20 = 35;

x = 15.

AD = 20 centimeters.

AB = 15 centimeters.

Answer: AD = 20 centimeters – the large side of the ABCD parallelogram.