Answer:
The length of the rectangle is 13 units and the width is 7 units.
Let's call the length of the rectangle L and the width W. According to the information provided:
The perimeter of a rectangle is given by the formula:
Perimeter = 2(L + W).
The width is 6 less than the length, which can be expressed as:
W = L - 6.
We're given that the perimeter is 40, so we can write the equation for the perimeter using the expressions for L and W:
40 = 2(L + (L - 6))
Now, let's simplify and solve for L:
40 = 2(2L - 6)
Now, distribute the 2 on the right side:
40 = 4L - 12
Add 12 to both sides:
40 + 12 = 4L
52 = 4L
Now, divide by 4 to find the length L:
L = 52 / 4
L = 13
Now that we have the length (L = 13), we can find the width using the equation W = L - 6:
W = 13 - 6
W = 7
So, the length of the rectangle is 13 units, and the width is 7 units.