Respuesta :

The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation

3 x 2x = 2(3 + 2x)
6x = 6 + 4x
2x = 6
x = 3

The value of x is 3/4 and this can be determined by using the formula of the area and the perimeter of the rectangle.

Given :

  • A rectangle is 3 inches long and 2x inches wide.
  • The value of the perimeter (in inches) is equal to the value of the area.

The following steps can be used in order to determine the value of 'x':

Step 1 - The formula of the perimeter of the rectangle is given by:

P = L + W

where L is the length and W is the width of the rectangle.

Step 2 - Now, substitute the values of the L and W in the above formula.

P = 3 + 2x

Step 3 - The formula of the area of the rectangle is given by:

A = LW

Step 4 - Substitute the values of the L and W in the above formula.

A = 6x

Step 5 - According to the given data, the value of the perimeter is equal to the value of the area, that is:

3 + 2x = 6x

4x = 3

x = 3/4

For more information, refer to the link given below:

https://brainly.com/question/1447350

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