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The length of one side of a parallelogra...

The length of one side of a parallelogram is 1 cm. shorter than that of its adjacent side. If its perimeter is at least 26 cm. find the minimum possible lengths of its sides.

Text Solution

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Let the longer side = x cm
`therefore` The smaller side = (x-1) cm
Perimeter = 2(x + (x-1)) = 4x - 2 cm According to the question
`4x - 2 ge 26`
`rArr 4x ge 28
`rArr x ge 7`
The minimum value of X = 7
`therefore` minimum length of sides are 7 cm and 6 cm.
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