SOLUTION: The perimeter of parallelogram ABCD is 100 cm. AD is 5 cm more than twice AB. Find the lengths of all four sides of ABCD.

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Question 1172871: The perimeter of parallelogram ABCD is 100 cm. AD is 5 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



Parallelogram:  Parallel Sides are Equal in Length

P = 2AD + 2AB = 100cm

Let x = AB, then AD = 2x + 5

Substitute:

2(2x+5) + 2x = 100cm

4x +10 + 2x = 100cm

6x = 90cm

x = 15cm  and (2x+5) = 35cm

2*30cm + 2*35cm = 100cm  Checks!

AB and DC  have Lengths of 15cm

AD and BC  have Lengths of 35cm

Wish You the Best in your Studies.