The perimeter of a parallelogram is 24 cm. It is known that one side is 6 cm less than the other. Find the sides of a parallelogram.

Given: P = 24 cm ^ 2 B C
a) AB is less than BC by 6 cm / /
b) BC is 2 times more than AB / /
Find: AB, BC, CD, AC A / / D

Decision:
AB = CD | – by the property of a parallelogram, which means that we can write
BC = AD_ | it’s like 2AB and 2BC
a) Let AB – x cm, then (x + 6) cm – BC
By the condition of the problem, P = 24 cm ^ 2.
I get the equation:
x + x + 6 + x + x + 6 = 24 (do not forget that in the parallelogram the opposite
the other sides are parallel in pairs, so hurray
it looks like this)
4x + 12 = 24
4x = 12
x = 3
Hence, AB = 3 cm, then BC = 6 + 3 = 9 cm.
b) Let AB – x cm, then BC – (2x) cm.
By the condition of the problem, P = 24 cm.
I get the equation:
x + 2x + x + 2x = 24
6x = 24
x = 4
So, AB = 4 cm, then BC = 4 * 2 = 8 cm.
Answer: a) 3 cm, 9 cm; b) 4 cm, 8 cm.