A rectangle has a fun property. The value of its perimeter is equal to the value of its area. The rectangle has a length of 2x feet and a width of 3 feet. 1. Write the equation perimeter equals to the area. 2. Solve for 'x' 3. Write both the value of the perimeter and the value of the area.

1) , 2) The value of is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.

Step-by-step explanation:

Let be a rectangle with a length of feet and a width of 3 feet. The area (), measured in square feet, and perimeter (), measured in feet, formulas are, respectively:

(Eq. 1)

(Eq. 2)

1) Now, we assume that , then we reduce the system of linear equation into a sole linear equation:

(Eq. 3)

2) We proceed to solve for :

The value of is 3.

3) Lastly, we obtain the values of the perimeter and area:

The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.

sine

step-by-step explanation: