If the perimeter of a parallelogram is 42 meters and side b is twice as long as side a, what is the length of side b?

To determine the length of side b in the parallelogram, we start by using the information provided about the perimeter and the relationship between the sides. The formula for the perimeter of a parallelogram is given by:

Perimeter = 2(a + b)

where 'a' is the length of one side and 'b' is the length of the adjacent side. In this case, the total perimeter is 42 meters.

We also know that side b is twice as long as side a. This can be expressed mathematically as:

b = 2a

Now, we can substitute this relationship into the perimeter formula:

42 = 2(a + 2a)

This simplifies to:

42 = 2(3a)

42 = 6a

To find 'a', we divide both sides by 6:

a = 42 / 6

a = 7 meters

Now that we have the length of side a, we can calculate the length of side b. Since b is defined as twice the length of side a:

b = 2a

b = 2 × 7

b = 14 meters

Thus, the length of side b is indeed 14 meters, confirming that the