Question

A field is in the form of a parallelogram whose perimeter is 450m.If one of its sides is greater than the other by 75m, find the lengths of all the sides of the parallelogram​

Answer 1

Answer:

In given problem,

let ABCD be parallelogram,

So If AD and CB = x

Then, DC and BA =x+75

Perimeter = AD + DC + CB + BA

450=x+x+75+x+x+75

450=4x+150

450−150 = 4x

300=4x

x =

4

300

x= 75

∴ Side = 75m

∴ Opposite side = x+75 = 75+75

The answer is 150m

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:Let one side be x

Then other side is x+75

Then ,

Perimeter of Parallelogram =Sum of all sides

So,

450 = x+x+x+75+x+75

450=4x+150

450-150 =4x

200=4x

200/4=x

50 =x

So, the sides of parallelogram are x=50 and x+75=50+75=125