The perimeter of a rectangle is 96m.The length is 6m more than twice the width. Find the dimension.

30 and 66

Let's assume the width of the rectangle as "w".

According to the given information, the length of the rectangle is 6m more than twice the width, which can be represented as:

Length = 2w + 6

The perimeter of a rectangle is calculated by adding the lengths of all four sides. The formula for perimeter is:

Perimeter = 2(Length) + 2(Width)

Substituting the values we have:

96 = 2(2w + 6) + 2w

Simplifying the equation:

96 = 4w + 12 + 2w

Combining like terms:

96 = 6w + 12

Subtracting 12 from both sides:

96 - 12 = 6w

84 = 6w

Dividing both sides by 6:

84/6 = w

w = 14

Now that we have the value for the width, we can substitute it back into the equation for length:

Length = 2w + 6
Length = 2(14) + 6
Length = 28 + 6
Length = 34

Therefore, the dimensions of the rectangle are width = 14m and length = 34m.

To find the dimensions of the rectangle, we can set up equations based on the given information.

Let's assume the width of the rectangle is W.

According to the given information, the length of the rectangle is 6m more than twice the width. So the length can be expressed as: length = 2W + 6.

The perimeter of a rectangle can be calculated by adding the lengths of all four sides. In this case, the perimeter is given as 96m. So we can set up the following equation:

Perimeter = 2(length + width)

Substituting the values we obtained earlier:

96 = 2((2W + 6) + W)

Now we can simplify and solve for W:

96 = 2(3W + 6)
96 = 6W + 12
6W = 96 - 12
6W = 84
W = 84/6
W = 14

Now that we have the width (W = 14), we can substitute this value back into the equation for the length to find its value:

Length = 2W + 6
Length = 2(14) + 6
Length = 28 + 6
Length = 34

Therefore, the dimensions of the rectangle are width = 14m and length = 34m.

Width = x meters.

Length = (2x + 6) meters.

2*x + 2(2x + 6) = 96 m.
2x + 4x + 12 = 96,
6x + 12 = 96,
6x = 96 - 12,
6x = 84,
x = 84 / 6 = 14 m = width.
(2x + 6) = 2*14 + 6 = 34 m = length.

CHECK: 2W + 2L = 28 + 68 = 96 m = P.