Answer:
Explanation:
To represent the situation and solve for the dimensions of the rectangle, we can set up a system of equations:
1. Let's assume the width of the rectangle is 'w' meters.
Therefore, the length of the rectangle is 'w + 3' meters, as it is 3 meters more than the width.
2. The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
3. We are given that the perimeter is 26 meters.
So, we can set up the equation:
2 * (w + (w + 3)) = 26
4. Simplifying the equation:
2 * (2w + 3) = 26
4w + 6 = 26
5. Solving for 'w':
Subtract 6 from both sides:
4w = 26 - 6
4w = 20
Divide both sides by 4:
w = 20 / 4
w = 5
6. Now that we have the value of 'w', we can find the length by adding 3 to it:
length = w + 3 = 5 + 3 = 8
So, the dimensions of the rectangle are:
Width = 5 meters
Length = 8 meters
Please note that the width and length obtained from the solution satisfy the given conditions of the problem.