find the perimiterof the figur AB= 2( x+y),BC=5 (x-y),CD=2(x+y),DA= 5(x-y)
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The perimeter of a parallelogram ABCD=40 cm, AB=3x cm, BC=2x cm and CD=2(y+1) cm.
Opposite sides of parallelogram are equal.
AB=CDandBC=AD
=>3x=2(y+1)and=>2x=AD
=> (y+1)=1.5xand=>AD=2x
Now,
AB+BC+CD+AD=40
=> 3x+2x+2(y+1)+2x=40
=>7x+2×1.5x =40
=> 7x+3x=40
=> x=4
Since, (y+1)=1.5x=1.5×4 =6
=> y=5
Step-by-step explanation:
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