Question

If the ratio of adjacent sides of a parallelogram is 3:5 and its perimeter is 320 cm, then the length of the longer side will be.​

Answer 1

Answer:

Step-by-step explanation:

The perimeter of a parallelogram = 2(a + b)

The ratio,3:5 is same as the fraction;3/5

P = 2(3/5 + b)

320 = 2(3/5 + b)

320 = 2 x 3/5 + 2 x b

320 = 6/5 + 2b

320/1= 6 + 10b/5, You cross multiply.

1 x 6 + 10b = 5 x 320

6 + 10b = 1610

10b = 1610 - 6

10b = 1604

b = 16.4cm

Therefore; The length of longest side is 16.4cm