A rectangle’s perimeter and its area have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units?
Let L be the length of the rectangle.
The perimeter of a rectangle is given by P = 2L + 2W, where L is the length and W is the width.
The area of a rectangle is given by A = L * W.
We are given that the perimeter and area have the same numerical value, so we can set up the equation:
2L + 2(3) = L * 3
2L + 6 = 3L
6 = L
So the length of the rectangle is 6 units.