The ratio of two sides of a parallelogram is as 3 : 5 ,and its perimet

1.	The ratio of two sides of a parallelogram is as 3 : 5 ,and its perimeter is 96m, find the Parallelogram
Answer» $\huge\mathfrak\green{Answer:}$ Given: We have been given that the ratio of two sides of a parallelogram are as 3:5. Perimeter of this parallelogram is 96m. To Find: We NEED to find the sides of parallelogram. Solution: As the ratio of the sides of parallelogram have been given as 3:5. So, let the sides of parallelogram be 3X and 5x. We know that the perimeter of a parallelogram is 2(sum of its opposite sides). THEREFORE, we have $\sf{2(3x + 5x) = 96}$ $\sf \implies 6x + 10x = 96$ $\sf \implies16x = 96$ $\sf \implies16x = 96$ $\implies \sf x = \dfrac{96}{16}$ $\implies \sf x = 6$ Thus, the required sides are: 3x = 3 × 6 = 18cm 5x = 5 × 6 = 30 Hence, the sides of parallelogram are 18cm and 30CM.