The perimeter of a figure is the sum of the lengths of all of its sides. The perimeter of this figure is √27 + 2√3 + √27 + 2√3. But, √27 = √9√3 = 3√3 . Now all of the sides have the same number underneath of the radical symbol (i.e. the same radicand) and so the coefficients of each radical can be added together. The result is that the perimeter is equal to 10√3.

To solve, simply use the formula for the perimeter of a rectangle. Thus,

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.

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:

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

Begin by computing the length of the other side of the yard. Based on the data that you have, you know that:

, where is the other side in yards. Solving for is:

Now, this means that our yard's dimensions in feet are:

The perimeter will be . For our data, this is:

Based on the information provided, you know that the rectangle's area could be represented as:

, where is the unknown side of the rectangle. Solving for , you get .

Now, remember that your perimeter is just the sum of all the sides. This is:

For our data, this is:

To find the length and width of a rectangle given the area and one side, simply divide the area by the given side length:

Next, to find the perimeter use the formula:

To solve, simply use the formula for the perimeter of a rectangle. Thus,

Leaving the width to be x, the length is 4_x_. The total perimeter is 4_x_ + 4_x_ + x + x = 10x.

We divide 25 by 10 to get 2.5, the time required to walk the width. Therefore the time required to walk the length is (4)(2.5) = 10.