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Zielflug [23.3K]
4 years ago
12

The Length of one side of a parallelogram is 3 more than twice the length of the adjacent side. The perimeter of the parallelogr

am is 30cm. Find the lengths of the two adjacent sides of the parallelogram.
Mathematics
1 answer:
katovenus [111]4 years ago
5 0

Answer: 4 cm and 11 cm.


Step-by-step explanation:

1. You can calculate the perimeter of a parallelogram as following:

P=a+b+c+d

Where a+b+c+d are the lenghts of the sides.

By definition the parallelogram has two pairs of parallel sides, therefore:

a=c and b=d

Then, you can calculate the perimeter as following:

 P=2(a+b)

2. Let's call the adjacent side x, then the other side is 2x+3.

3. Substitute values  and solve for x:

30=2(x+2x+3)\\30=2(3x+3)\\30=6x+6\\24=6x\\x=4

4. Then the lenghts of the sides are:

x=4cm\\2x+3=2(4cm)+3=11cm


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