find the area of the parallelogram bounded by the lines x=3,x=5,3x-2y=o,3x-2y+1=0 - Maths - Linear Inequalities

Question

find the area of the parallelogram bounded by the lines
x=3,x=5,3x-2y=o,3x-2y+1=0

Anuradha Sharma · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_5548a751d03ba%20png"
style="width: 578px; height: 411px;">
Since x = 3 and x=5 are parallel and 3x-2y=0 and 3x-2y=-1 are parallel so they will form a parallelogram and solving them with each other will gives the points as shown in the figure
Now AB=CD= 0
5 and perpendicular distance between them = 5-3=2SO area of parallelogram = baseAB×perpendicular distance between the parallel sides= 0
5×2=1 square unit