Question

The perimeter of a parallelogram is 120 CM. If one side is greater than the other by 9 CM find the lengths of all the side of the parallelogram

Answer 1

Answer:

x = 25.5 cm.

x + 9 = 34.5 cm.

Step-by-step explanation:

We know that a parallelogram has four sides and that the opposite sides of a parallelogram are equal.

Let the width of the parallelogram be $x$ cm.  The side opposite to the width will also have the same measurement.

This leaves two other opposing sides.

Since one side is greater than the other by 9 cm, the length can be taken as $x+9$ cm.  The side opposite to the length will also have the same measurement.

The sum of all sides of a parallelogram equals its perimeter.

$x+x+x+9+x+9 = 120$

$4x + 18 = 120$

$4x = 102$

$x = 25.5$ cm.

This shows that the width of the parallelogram is 25.5 cm.  

Since $x$ is 25.5 cm, $x+9$ = $25.5 + 9$ = $34.5$ cm.

This shows that the length is 34.5 cm.

Now, let us add all the values to confirm whether our answer is right.

$34.5 + 34.5 + 25.5 + 25.5 = 120\\69 + 51 = 120\\120 = 120$

Therefore, our answer is right.

Since the other two sides are equal to the side they are opposite to, one side will be 25.5 cm and the remaining side will be 34.5 cm.