Question

one side of a parallelogram is 4m longer than its adjacent side. if the perimeter of the parallelogram is 68m, find the measure of all sides​

Answer 1

Step-by-step explanation:

Let ABCD is a parallelogram

Let AB=x m

Adjacent side BC=(x+2.5) m

Now,

CD=AB=x m [Opposite sides of parallelogram are equal]

And AD=BC=(x+2.5) m [Opposite sides of parallelogram are equal]

Perimeter =AB+BC+CD+AD

⇒51=x+x+2.5+x+x+2.5

⇒51=4x+5

⇒4x=51−5

⇒4x=46

⇒x=

4

46

⇒x=11.5 m

So,

AB=CD=11.5 m

and BC=AD=11.5+2.5=14 m

Answer 2

Step-by-step explanation:

let ABCD be a parallelogram

let AB be x m

Adjecent side BC=(x+4 m)

Now,

CD=AB=x m. [opposite side of parallelogram are equal]

And, AD=BC=(x+4 m). [opposite side of parallelogram are equal]

perimeter =AB+BC+AD+CD

68=x+x+4+x+x+4

68=4x+8

4x=68-8

4x=60

x=60/4

x=15 m

so,

AB=CD=15 m

And BC=AD=15+4=19 m