SOLUTION: In pparallelogram ABCD, AB is twice BC and its perimeter is 90cm. Find the measures of all the sides.

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Question 1014208: In pparallelogram ABCD, AB is twice BC and its perimeter is 90cm. Find the measures of all the sides.
Answer by ikleyn(52799) About Me  (Show Source):
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In pparallelogram ABCD, AB is twice BC and its perimeter is 90cm. Find the measures of all the sides.
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Let x be the shorter side dimension.
Then the longer side length is 2x.

The perimeter is x + 2x + x + 2x = 6x.

It is 90 cm, so you have an equation 

6x = 90.

Hence, x = 90%2F6 = 15 cm.

Answer. The sides of parallelogram are 15 cm and 30 cm.