The Length of one side of a parallelogram is 3 more than twice the length of the adjacent side. The perimeter of the parallelogram is 30cm. Find the lengths of the two adjacent sides of the parallelogram.

Respuesta :

Answer: 4 cm and 11 cm.


Step-by-step explanation:

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

[tex]P=a+b+c+d[/tex]

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:

 [tex]P=2(a+b)[/tex]

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

3. Substitute values  and solve for x:

[tex]30=2(x+2x+3)\\30=2(3x+3)\\30=6x+6\\24=6x\\x=4[/tex]

4. Then the lenghts of the sides are:

[tex]x=4cm\\2x+3=2(4cm)+3=11cm[/tex]