The length of a rectangle is twice its width if the area of the rectangle is 200 m squared, find its perimeter.

60 in

Well, well, well, looks like we have a rectangle that's playing hide and seek with its dimensions! Let's unravel this mystery, shall we?

Let's assume the width of our elusive rectangle is represented by 'W'. Since the length is twice the width, we can say the length is '2W'.

Now, we're told that the area of this sneaky rectangle is 200 square meters. To find the area, we multiply the length (2W) by the width (W). So, we have the equation 2W * W = 200.

Solving this equation, we get W² = 100. Taking the square root of both sides, we find that the width is W = 10.

Since the length is twice the width, the length is 2 * 10 = 20.

The perimeter of a rectangle can be found by adding up all its sides. In this case, we have two sides of width (10) and two sides of length (20). So, P = 2W + 2L = 2(10) + 2(20) = 20 + 40 = 60 meters.

Voila! The perimeter of this tricky rectangle is 60 meters.

To find the perimeter of a rectangle, you need to know its length and width. In this case, we have the area of the rectangle, so we can use that information to solve for the missing values.

Let's assume that the width of the rectangle is "w" meters. Since the length is twice the width, we can express the length as 2w.

The area of a rectangle is given by the formula: length * width. In this case, we have the area as 200 m². So, we can write the equation:

length * width = area

(2w) * w = 200

Simplifying the equation:

2w² = 200

Divide both sides by 2:

w² = 100

Taking the square root of both sides:

w = √100

w = 10

Now that we know the width is 10 meters, we can find the length by doubling it:

length = 2w = 2 * 10 = 20 meters

The width is 10 meters and the length is 20 meters. To find the perimeter, we use the formula: perimeter = 2(length + width).

perimeter = 2(20 + 10) = 2(30) = 60 meters

Therefore, the perimeter of the rectangle is 60 meters.

A = Lw

w = width
2w = length

200 = w(2w)
200 = 2w^2
100 = w^2
10 = w

P = 2L + 2w
w = 10
L = 2w = 20

P = 2(10) + 2(20)
P = ?