How to find the perimeter of a parallelogram - SSAT Upper Level Quantitative

The side length is half of the base length:

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length

Let:

Side length .

The perimeter of a parallelogram is:

where:

is the base length of the parallelogram and is the side length. The perimeter is known, so we can write:

Now we solve the equation for :

The base length is three times more than the side length, so we have:

Base length

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length. So we get:

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length. In this problem the base length and side length are identical, that means:

So we can write:

The perimeter of a parallelogram is:

where:

is the base length of the parallelogram and is the side length. So we have:

and:

The height of the parallelogram is , and the base is . By the Theorem, . Since the product of the height and the base of a parallelogram is its area,

By the Theorem,

, and

The perimeter of the parallelogram is

By the Theorem:

, and

The perimeter of the parallelogram is

Like any polygon, the perimeter of a parallelogram is the total distance around the outside, which can be found by adding together the length of each side. In case of a parallelogram, each pair of opposite sides is the same length, so the perimeter is twice the base plus twice the side length. Or as a formula we can write:

Where:

is the base length of the parallelogram and is the side length. So we can write:

The side length is half of the base length:

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length

Let:

Side length .

The perimeter of a parallelogram is:

where:

is the base length of the parallelogram and is the side length. The perimeter is known, so we can write:

Now we solve the equation for :

The base length is three times more than the side length, so we have:

Base length

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length. So we get:

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length. In this problem the base length and side length are identical, that means:

So we can write:

The perimeter of a parallelogram is:

where:

is the base length of the parallelogram and is the side length. So we have:

and:

The height of the parallelogram is , and the base is . By the Theorem, . Since the product of the height and the base of a parallelogram is its area,

By the Theorem,

, and

The perimeter of the parallelogram is

By the Theorem:

, and

The perimeter of the parallelogram is

Like any polygon, the perimeter of a parallelogram is the total distance around the outside, which can be found by adding together the length of each side. In case of a parallelogram, each pair of opposite sides is the same length, so the perimeter is twice the base plus twice the side length. Or as a formula we can write:

Where:

is the base length of the parallelogram and is the side length. So we can write:

The side length is half of the base length:

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length

Let:

Side length .

The perimeter of a parallelogram is:

where:

is the base length of the parallelogram and is the side length. The perimeter is known, so we can write:

Now we solve the equation for :

The base length is three times more than the side length, so we have:

Base length

The perimeter of a parallelogram is:

Where:

is the base length of the parallelogram and is the side length. So we get: