the ratio of the legth of two sides of parallelogram is 2:5 and it's perimeter is 84 cm. find the length
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In this case we consider the qarallelogram a rectangle
so lengths are
2x and 5x
perimeter = 2(l+b)
84 = 2(2x+5x)
84 = 14x
84/14=x
x = 6
so the length are 12 and 30 by putting the value of x
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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)
⇒ 112=6x+8x
⇒ 112=14x
⇒ x=8cm
The length of the sides are,
⇒ 3x=3×8cm=24cm
⇒ 4x=4×8cm=32cm
∴ The length of the smallest sides of the parallelogram is 24cm
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