Arectangle'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?

We are being informed that the perimeter of a rectangle and its area have the same numerical value.

Thus,

We knew that the perimeter of a rectangle = 2 (L + B), and;

The Area of a rectangle = (L × B)

If the width of the rectangle = 3 units

If we equate the perimeter of the rectangle and the area of the rectangle to we can determine the length of the rectangle.

So;

2 (L + W) = ( L × W)

2 ( L + 3) = ( L × 3)

6 + 2L = 3L

6 = 3L - 2L

L = 6

In conclusion, the length of the rectangle = 6 units

Learn more about the perimeter of the rectangle here:

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Formula

2*(L + W) = L * W

Given

W = 3

Solution

2*(L + 3) = 3*L

2L+ 6 = 3L                      Subtract 2L from both sides

2L - 2L + 6 = 3L - 2L      combine

6 = L

The length is 6 units long.

step-by-step explanation:

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