the ratio of the sides of a parallelogram is 3:4. If the perimetre is 84cm, find the sides of the parallelogram
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Answers
Step-by-step explanation:
If the two sides have a ratio of 3:4 that means their sides can be represented as 3x and 4x.
⇒ Perimeter of parallelogram =2(3x)+2(4x)
⇒ 84=6x+8x
⇒ 84=14x
⇒ x=6cm
The length of the sides are,
⇒ 3x=3×6cm=18cm
⇒ 4x=4×6cm=24cm
∴ The length are18,24 cm
Step-by-step explanation:
Consider ABCD be a parallelogram which has,
Perimeter = 84cm
Let 1st side = 3x
2nd side = 4x
We need to find the sides of the parallelogram
We know ,opposite sides of a parallelogram are equal .
Therefore,consider 3rd side & 4th side be 3x & 4x respectively.
also, Sum of all sides = Perimeter of parallelogram
=> 3x + 4x + 3x + 4x = 84cm
14x = 84
x = 6
Thus,all sides of parallelogram are 18cm,24cm,18cm & 24cm.