Question

Write and simplify an expression that represents the perimeter of the parallelogram.

5x+7
and 8x-9

Answer 1

The Perimeter of parallelogram is represented as P = 26 x - 4

Explanation:

Given as :

The sides of parallelogram as

5 x + 7

and 8 x - 9

From the property of parallelogram , The two opposite sides are parallel and equal

Let The four sides of parallelogram be AB , BC , CD , DA

And The measure of sides are

AB = 5 x + 7

BC = 8 x - 9

CD = 5 x + 7

DA = 8 x - 9

Now The Perimeter of any close figure is the measure of all the sides .

So, Perimeter = AB + BC + CD + DA

Or, P = ( 5 x + 7 ) + ( 8 x - 9 ) + ( 5 x + 7 ) + ( 8 x - 9 )

Or, P = ( 5 x + 8 x + 5 x + 8 x ) + ( 7 - 9 + 7 - 9 )

Or P = 26 x - 4

Hence The Perimeter of parallelogram is represented as P = 26 x - 4 Answer