the perimeter of a parallelogram is 88 cm and one of its adjacent sides is longer than the other by 10 cm. Find the length of each of its sides

3 answers

Let long side = S (cm)
then short side = S-10 (cm)
A parallelogram has opposite sides of equal length, therefore the perimeter equals
2(S + (S-10))=4S-20
We were given the perimeter is 88 cm, therefore
4S-20=88
Solve for S (the long side) and S-10 (the short side).
S= 17
S-10= 7
correct?
S= 27
S-10= 17