Question

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.

Answer 1

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:

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