two sides of a parallelogram are in the ratio 2:4 If it's perimeter is 72 cm find the length of its side
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Answered by
16
2x = 24
4x = 48
Step-by-step explanation:
let sides be 2x and 4x
Perimeter= 72cm
=> 2(2x + 4x) = 72
=> 4x + 8x = 72
=> 12x = 72
=> x = 72/12
So, x = 6
2x = 2×6 = 12cm
4x = 4×6 = 24cm
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Answered by
52
EXPLANATION.
Two sides of a parallelogram are in the ratio = 2 : 4.
If its perimeter = 72 cm.
As we know that,
In Parallelogram opposite sides are also equal.
Let one sides of parallelogram be = 2x.
Other sides of parallelogram be = 4x.
Perimeter of parallelogram = 2[one side + other sides].
⇒ 2[2x + 4x] = 72.
⇒ 2[6x] = 72.
⇒ 12x = 72.
⇒ x = 6 cm.
One sides be = 2x = 2 x 6 = 12 cm.
Other sides be = 4x = 4 x 6 = 24 cm.
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