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

One meter is equal to 1,000 millimeters, so the perimeter of 9 meters can be expressed as:

9 meters = millimeters.

Since the six sides of a regular hexagon are congruent, divide by 6:

millimeters.

As the six sides of a regular hexagon are congruent, we can write:

feet; is the length of each side.

One feet is equal to 12 inches, so we can write:

inches

The perimeter of a polygon is the sum of the lengths of its sides. Let:

Length of one of those other two sides

Now we can set up an equation and solve it for in terms of :

The perimeter of a polygon is the sum of the lengths of its sides. So we can write:

Since each interior angle of a hexagon is 120 degrees, we have a regular hexagon with identical side lengths. And we know that the perimeter of a polygon is the sum of the lengths of its sides. So we can write:

inches

The perimeter of a polygon is the sum of the lengths of its sides. Since three sides are congruent with the length of and the rest of the sides have the length of we can write:

Now we should solve the equation for :

A regular polygon has all of its sides the same length. The pentagon has perimeter ; the hexagon has perimeter . The sum of the perimeters is , which is the perimeter of the octagon; each side of the octagon has length .

A hexagon has six sides. The perimeter of a hexagon is:

Substitute the side length.

One meter is equal to 1,000 millimeters, so the perimeter of 9 meters can be expressed as:

9 meters = millimeters.

Since the six sides of a regular hexagon are congruent, divide by 6:

millimeters.

As the six sides of a regular hexagon are congruent, we can write:

feet; is the length of each side.

One feet is equal to 12 inches, so we can write:

inches

The perimeter of a polygon is the sum of the lengths of its sides. Let:

Length of one of those other two sides

Now we can set up an equation and solve it for in terms of :

The perimeter of a polygon is the sum of the lengths of its sides. So we can write:

Since each interior angle of a hexagon is 120 degrees, we have a regular hexagon with identical side lengths. And we know that the perimeter of a polygon is the sum of the lengths of its sides. So we can write:

inches

The perimeter of a polygon is the sum of the lengths of its sides. Since three sides are congruent with the length of and the rest of the sides have the length of we can write:

Now we should solve the equation for :

A regular polygon has all of its sides the same length. The pentagon has perimeter ; the hexagon has perimeter . The sum of the perimeters is , which is the perimeter of the octagon; each side of the octagon has length .

A hexagon has six sides. The perimeter of a hexagon is:

Substitute the side length.

One meter is equal to 1,000 millimeters, so the perimeter of 9 meters can be expressed as:

9 meters = millimeters.

Since the six sides of a regular hexagon are congruent, divide by 6:

millimeters.

As the six sides of a regular hexagon are congruent, we can write:

feet; is the length of each side.

One feet is equal to 12 inches, so we can write:

inches

The perimeter of a polygon is the sum of the lengths of its sides. Let:

Length of one of those other two sides

Now we can set up an equation and solve it for in terms of :

The perimeter of a polygon is the sum of the lengths of its sides. So we can write: