Question

the perimeter of parallelogram is 45 cm and one side of it is 10 cm find other sides​

Answer 1

Answer:

Length of other side is 12.5 cm.

Given:

Perimeter of a parallelogram is 45cm.

Length of it's one side is 10cm.

To find:

Other side.

Solution:

Let the other side of the parallelogram be x cm.

Perimeter of the parallelogram = 45cm.

=> 2(sum of adjacent sides) = 45cm.

=> 2(10+x) = 45cm.

=> 20+2x = 45cm.

=> 2x = 45-20

=> x = 25/2

=> x = 12.5cm.

Hence, length of the other side is 12.5 cm.

Length of all sides = 10cm,12.5cm,10cm and 12.5cm.

Verification:

Perimeter of parallelogram = 2(sum of 2 adjacent sides)

=> 2(10+12.5)cm = 45cm

=> (20+25) = 45cm

=> 45cm = 45cm.

Here, LHS = RHS.

Hence,verified.

Answer 2

Other side's length is 12.5cm.

Here;

Perimeter is 45 cm

one side is 10 cm

Now, we know that,

opposite sides of parallelogram are parallel and parallel sides are equal

so, another side is 10 cm

As for other two sides ,Let one side be X

so two parallel sides make 2 X

Here,

10+10+2 x =45

or,20+2 x=45

or,2 x=45-20

or, x = 25÷2

thus, x=12.5 cm

as x is the sides we suppose so, the answer is 12.5. hope this method will work?