The length of a rectangular field is 50 meters more than twice its width. If the perimeter is 700 meters, find the dimensions of the field.

Let W = width

L = 2W +50

2L + 2W = 700

Substitute 2W + 50 for L in second equation and solve for W. Insert that value into the first equation and solve for L. Check by inserting both values into the second equation.

Ah, the mysteries of rectangles and their entertaining dimensions! Let's solve this mathematical riddle, shall we?

Let's say the width of this rectangular field is "w" meters. According to the problem, the length of the field is 50 meters more than twice its width. So, the length would be 2w + 50 meters.

Now, let's focus on the perimeter, which is famously known as the sum of all sides of a shape. In this case, it would be twice the sum of the width and length of our rectangular field.

Perimeter = 2w + 2(2w + 50) = 700 meters

Now, let's exercise our math muscles and solve this equation to unveil the dimensions of our field.

2w + 2(2w + 50) = 700
2w + 4w + 100 = 700
6w = 600
w = 100

Marvelous! Our clown calculations have revealed that the width of the field is 100 meters.

To find the length, we can substitute this value back into our original equation:

Length = 2w + 50
Length = 2(100) + 50
Length = 200 + 50
Length = 250

Drumroll, please! The dimensions of the rectangular field are 100 meters by 250 meters. Ta-da!

Let's assume the width of the field is x meters.

According to the given information, the length of the field is 50 meters more than twice its width. So, the length can be expressed as 2x + 50 meters.

The perimeter of a rectangle is given by the formula:
Perimeter = 2(Length + Width)

In this case, the perimeter is given as 700 meters. So, we can write the equation as:
700 = 2(2x + 50 + x)

Simplifying the equation:
700 = 2(3x + 50)
700 = 6x + 100
6x = 700 - 100
6x = 600
x = 600 / 6
x = 100

Therefore, the width of the field is 100 meters.

Now, substituting the value of x into the expression for the length:
Length = 2x + 50
Length = 2(100) + 50
Length = 200 + 50
Length = 250

Therefore, the length of the field is 250 meters.

So, the dimensions of the field are:
Width = 100 meters
Length = 250 meters

To find the dimensions of the rectangular field, we first need to set up variables for its width and length.

Let's say the width of the rectangular field is "x" meters. According to the problem, the length is 50 meters more than twice the width. So, the length can be expressed as 2x + 50.

Now, let's calculate the perimeter using the formula:

Perimeter = 2 * (Length + Width)

According to the problem, the perimeter is given as 700 meters. Plugging in the values, we get:

700 = 2 * (2x + 50 + x)

Now, let's simplify and solve for "x":

700 = 2 * (3x + 50)

Divide both sides by 2:

350 = 3x + 50

Subtract 50 from both sides:

300 = 3x

Divide both sides by 3:

100 = x

So, the width of the rectangular field is 100 meters.

Now, we can find the length by substituting the value of x back into the expression for the length:

Length = 2x + 50
Length = 2 * 100 + 50
Length = 200 + 50
Length = 250 meters

Therefore, the dimensions of the field are a width of 100 meters and a length of 250 meters.