Answer:
the lengths of sides are 8 and 6.
Explanation:
Let us denote side lengths of the parallelogram as x and y.
Then first condition can be written as x/y=3/4.
Second condition can be written as 2x+2y=28.
We can multiply both sides of the first equation by y and get x=(3y)/4.
Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:
2(3y/4)+2y=28
And we can solve it for y.
1.5y+2y=28
3.5y=28
y=8
What is left is to find x. We may use the expression for x again: x=(3*8)/4=6
Ans: the lengths of sides are 8 and 6.