How to find the perimeter of a rectangle

For a rectangle, area is and perimeter is , where is the length and is the width.

Let = length and = width.

The area equation to solve becomes , or .

To factor, find two numbers the sum to -4 and multiply to -96. -12 and 8 will work:

x2 + 8x - 12x - 96 = 0

x(x + 8) - 12(x + 8) = 0

(x - 12)(x + 8) = 0

Set each factor equal to zero and solve:

or .

Therefore the length is and the width is , giving a perimeter of .

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

Now, using the area and the given width, we can then find the length.

Plug in the given values.

Now that we have both length and width, find the perimeter of the rectangle.

Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.

Remember, the perimeter of the rectangle is the sum of all four sides:

It is obvious from the figure that A=6 and B=24.

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Since we know the width and area, we can determine the length by using the equation for area of a rectangle:

Now that we know the length of the tile, we can solve for perimeter:

To solve for the perimeter of the Quidditch field, we must first determine the length of the field. With the provided information, we can solve for this by drafting an algebraic equation:

Now that we know our length, we can determine the perimeter of the field:

Recall how to find the area of a rectangle:

Now, we can use this equation to find the width of the rectangle.

Plug in the information from the question to find the width of the rectangle.

Now, recall how to find the perimeter of a rectangle.

Plug in the length and width values to find the perimeter.

Let l be the length of the garden and w be the width.

By the specifications of the problem, l = 2w-3.

Plug this in for length in the area formula:

A = l x w = (2w - 3) x w = 9

Solve for the width:

2w²- 3w - 9 =0

(2w + 3)(w - 3) = 0

w is either 3 or -3/2, but we can't have a negative width, so w = 3.

If w = 3, then length = 2(3) - 3 = 3.

Now plug the width and length into the formula for perimeter:

P = 2 l + 2w = 2(3) + 2(3) = 12

The area of a rectangle is the width times the height, and we are told that in this rectangle the width is two times the height.

Therefore, .

Plug in the value of the area:

Solve for to find a width of 4 inches. Using our formula above, the height must be 8 inches. We then add all the sides of the rectangle together to find the perimeter: