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The ratio of two sides of a parallelogram is 3:4 and the perimeter is 28 in. Find the lengths of the sides of the parallelogram.

1 Answer

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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.

User OmerGertel
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