the perimeter of a paralleogram is 140 cm. find lenghts of sides. Please provide explanation!

Answer:The length of the sides of this parallelogram are 40 cm and 30 cmStep-by-step explanation:1. Let's check all the information provided to find the length of the sides of the parallelogram:Perimeter = 140 cmLength of  the sides: x + 10 and 2x2. Let's find the value of x and in this way, the length of the sides:Recall that the perimeter of any parallelogram is the sum of its four sides, thus for this specific parallelogram, we have:Perimeter = 2x + 2x + x + 10 + x + 10We know that the perimeter is 140, we substitute in the equation:140 = 2x + 2x + x + 10 + x +10140 = 6x + 20140 - 20 = 6x (Subtracting 20 at both sides)120 = 6x120/6 = x (Dividing by 6 at both sides)20 = xNow we can calculate the length of the sides:Lower side is x + 10 20 + 10 = 30 cmHigher side is 2x2 * 20 = 40 cmPerimeter = 30 + 30 + 40 + 40Perimeter = 140 cm