Question

ABCD is a parallelogram AD=4x-y+10, AB=3y-x, BC=x+y, CD=x+2y find x and y

Answer 1

Step-by-step explanation:

In parallelogram , opposite sides are congruent

Then AB=CD...2x+5=y+1.....2x-y=-4 .............(1)

And AD+BC.....y+5=3x-4........-3x+y=-4-5=-9...........(2)

Substructure (1) in to (2)

-x=-13 Or x=13

And y=-4-26=30

Then AB=CD =2×13+5=31

And AD+BC=3×13−4=35

AB:AD=31:35