A square garden has a side length that si 3 meters shorter than the length of a rectangular garden. Find the perimeter of the rectangular garden in terms of y

No idea what y is. However, if it is the side of the square, then the length of the rectangle is y+3

Now, since we have no idea of the width of the rectangle, let's call it z. Then the perimeter is

2(y+3 + z)

If the two gardens have the same area, then y^2 = (y+3)z so z=y^2/(y+3) and the perimeter is thus

2(y+3 + y^2/(y+3))

You fill in what was omitted, and work on i t, ok?

8+4y/y+3

To find the perimeter of the rectangular garden in terms of y, we need to understand the relationship between the square garden and the rectangular garden.

Let's assume the side length of the square garden is x meters. According to the given information, the side length of the square garden is 3 meters shorter than the length of the rectangular garden. This implies that the length of the rectangular garden is x + 3 meters.

Now, let's calculate the perimeter of the rectangular garden. The perimeter of a rectangle is given by the formula: P = 2 * (length + width).

In this case, the length of the rectangular garden is x + 3 meters, and the width is x meters (since it is a square garden). Thus, the perimeter (P) of the rectangular garden is:

P = 2 * (x + 3 + x)
= 2 * (2x + 3)
= 4x + 6

Therefore, the perimeter of the rectangular garden in terms of y (since it was not specified how y is related to the problem) is 4x + 6.