Question

In a parallelogram, the ratio of the adjacent sides is 4: 5 and its perimeter is 72 cm then, find the sides of the parallelogram

Answer 1

Answer:

16 cm, 20 cm, 16 cm, 20 cm (list of all four sides)

Step-by-step explanation:

Denote one side as $4x$ and the other as $5x$. It well-known that opposite sides of parallelogram are equal.

Then perimeter $P = 4x + 4x + 5x + 5x$ (sum of all sides).

We know that

$P = 72\ cm$. So

$4x + 4x + 5x + 5x = 72$

$18x = 72$

$x = 4$.

Now we can find sides:

first side: $4x = 4\cdot 4 = 16$

second side: $5x=$ $5\cdot 4 = 20$

Answer 2

Answer:

16 cm and 20 cm

Step-by-step explanation:

Ratio = 4:5

Perimeter = 72 cm

Condition:

2(4x)+2(5x) = 72

=> 8x+10x = 72

=> 18x = 72

Dividing both sides by 18

=> x = 4

Now, The lengths are:

=> 4(4) = 16 cm

=> 5(4) = 20 cm