two adjacent sides of a parallelogram are in the ratio 3:8 and it perimeter is 110cm find sides of parallelogram
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ABCD is a parallelogram
Let AB=3x
So BC=8x
Perimeter=110cm
Opposite side of parallelogram are equal
So,AB=CD, BC=DA
AB+BC+CD+DA=110cm
AB+BC+AB+BC=110cm
2AB+2BC=110cm
2(3x+8x)=110
11x=55
x=5
AB=3x=3(5)=15cm
BC=8x=8(5)=40cm
CD=AB=15cm
BC=DA=40cm
Let AB=3x
So BC=8x
Perimeter=110cm
Opposite side of parallelogram are equal
So,AB=CD, BC=DA
AB+BC+CD+DA=110cm
AB+BC+AB+BC=110cm
2AB+2BC=110cm
2(3x+8x)=110
11x=55
x=5
AB=3x=3(5)=15cm
BC=8x=8(5)=40cm
CD=AB=15cm
BC=DA=40cm
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