What is the perimeter of a rectangle with width of 4 meters and length that is triple its width?

First, let's find the dimensions of our rectangle.

Width is easy, it is given to us as 4 meters.

Length is a little trickier, it is triple the width:

Next, we need to recognize that perimeter is the distance around the outside of our shape. 

Because we have a rectangle, we know that we have two 12 meter sides and two 4 meter sides.

So we do the following to get our answer:

What is the perimeter of a square, if the square's area is 64 light years?

To find the perimeter of a square, we need to find the length of the side.

Note that squares have 4 equal sides, so we can work backward from our area to find the side length:

However, we are not quite done. We still need to find the perimeter.

So the square is 32 light years in perimeter.

The formula to find the perimeter of a square or rectangle is

where a, b, c, and d are the lengths of the sides.  We know that the yard is a perfect square, meaning all sides are equal.  We also know one side is 11 ft.  Using that information, we can substitute

Therefore, we need 44 ft of fencing to use on our entire yard.

One side of the fence is  feet long while the other two sides are each  feet.

This is a perimeter problem so you need to add the three numbers together.

So:

Since the perimeter marks out the distance around a shape, you can imagine yourself walking around a shape to find the perimeter. For a rectangle, you would walk the same length twice (once on each side) and the same width twice (once on each side). That's why you multiply both the length and the width by 2. 

To find the perimeter, use the following formula:

Step 1: insert length and width into the formula

Step 2: solve

The equation for the area of a tirangle is 

The base in this equation is  and the height is  which can be plugged into the formula as:



Finally, we multiply to get:

The key to solving this problem is remembering what an equilateral triangle is.  In case you forgot, a quick word breakdown will help.  It's easy to see that the first part of the word, "equi" looks an awful lot like equal.  The second part, "lateral", is a little trickier, but we only need to remember that lateral means "side".  In football, a lateral pass is when the player with the ball tosses it to a player on either side.  Putting the two parts together, we see that equilateral just means equal sides.  Therefore an equilateral triangle is a triangle where all three sides have equal length.  That means that if one side of our equilateral triangle has length of , the other two sides are also each  long.

We must also remember that the perimeter of a shape is just the distance around the outside of it.  For our triangle, that means  for the first side,  for the second side, and  for the third side.  That means our perimeter is simply .

To begin, first find the length of the third side of the triangle. We are given that the two short sides of the triangle have lengths of 5 and 12. Use the Pythagorean Theorem to find the length of the third side:

,

where  and  represent the two shorter sides of the triangle, and  is the hypotenuse:

Now that we have the lengths of all three sides, add them together to find the perimeter:

The perimeter of the triangle is 30.

The correct answer to the question is .

The formula for finding the perimeter of a triangle is to find the sum of the length of the  sides. 

The lengths of the three sides of this triangle are , , and . If you add these  sides, the sum is a perimeter of .

Using the Pythagorean Theorem, the length of the second leg can be determined.

We are given the length of the hypotenuse and one leg.

The perimeter of the triangle is the sum of the lengths of the sides.