The length of the two adjacent sides of a parallelogram are in the ratio 2:3 and its perimeter is 50 cm. Find the length the sides of the parallelogram.
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Let ABCD be a parallelogram.
let AB and BC be the adjacent sides.
Therefore,
BC/AB = 2/3 (Assuming that AB is longer than BC)
Now,
let BC = 2x
and AB = 3x
Also, AB=CD= 3x. [ In an parallelogram ]
and BC=AD= 2x [opp. sides are equal]
now, perimeter = AB+BC+CD+AD
50 = 3x+2x+3x+2x
50 = 10x
50÷10 =x
x = 5
sides,
AB=CD = 3×5 = 15 cm
BC=AD = 2×5 = 10 cm
let AB and BC be the adjacent sides.
Therefore,
BC/AB = 2/3 (Assuming that AB is longer than BC)
Now,
let BC = 2x
and AB = 3x
Also, AB=CD= 3x. [ In an parallelogram ]
and BC=AD= 2x [opp. sides are equal]
now, perimeter = AB+BC+CD+AD
50 = 3x+2x+3x+2x
50 = 10x
50÷10 =x
x = 5
sides,
AB=CD = 3×5 = 15 cm
BC=AD = 2×5 = 10 cm
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