Question

Two sides of the parallelogram are in the ratio 7 : 9. Its perimeter is 64 cm. Find the length of each sides.

Answer 1

Answer:

Step-by-Suppose one side is 5x and another side is 3x so opposite sides must be 5x and 3x because it's a parallelogram and thus opposite sides are same

Perimeter = sum of all side

64 = 5x + 3x + 5x + 3x

64 = 16x

x = 4

So sides are 20,12,20,12step explanation:

Answer 2

To find : length of sides of  parallelogram

Given : Two sides of the parallelogram are in the ratio $7 : 9$ .

            Perimeter is $64$ cm .

Solution :  

• As we know that opposite side of parallelogram are equal therefore , let sides of parallelogram be $7x , 9x , 7x , 9x$ .
• Perimeter of parallelogram = sum of sides of parallelogram  
• Substituting the values , we get

         $64 = 7x + 7x + 9x + 9x \\64 = 32 x \\x = 2$  

• Now , sides of parallelogram are : $7x = 7\times 2 = 14 \ cm$

                                                                 $9x = 9\times 2 = 18 \ cm$

Hence , length of sides of parallelogram are $14cm , 18cm , 14cm , 18cm$ .