Answer:
Step-by-step explanation:
The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD
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Let x = |AD| (the length of the side AD).
Let y = |AB| (the length of the adjacent side AB).
Then
2x + 2y = 92 (the perimeter)
x - 2y = 1 ("AD is 1cm more than twice AB.")
Add the two equations (both sides) and get
3x = 92 + 1 ---> 3x = 93 ---> x = 93/3---> x = 31.
Then from the second equation 2y = x - 1 = 30-1 = 30.
Hence, y = 30/2 = 15.
Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.
