Question

7. The length of a parallelogram is 2.5 m longer than its adjacent side. If the perimeter of the parallelogram
is 51 m, find the measure of all its sides.​

Answer 1

Let the first side be x then its adjacent

sides = x + 2.5

Now, in parallelogram ABCD

AB+BC+CD+AD=51m

x+2.5+x+x+2.5+x=51

4x+5=51

x=

$\frac{46}{4 } = \frac{23}{2} = 11.5$

AD=BC=x=11.5

AB=CD=x+2.5=11.5+2.5=14m