The length of a rectangle is 3 cm greater than its width the perimeter is 30 cm. find the dimensions of the rectangle. must show work

The width of the rectangle is 6 cm and its length is 9 cm

Step-by-step explanation:

Length of the rectangle = 3 cm greater than its width

Perimeter of the rectangle = 30 cm

Find the dimensions of the rectangle.

x = Width of the rectangle

x + 3 = Length of the rectangle

Now, let's solve for x, using the perimeter formula this way:

2 * width + 2 * length = Perimeter of the rectangle

Replacing with the values and variables we have:

2 * x + 2 * (x + 3) = 30

2x + 2x + 6 = 30

4x = 30 - 6

4x = 24

x = 6 ⇒ x + 3 = 9

The width of the rectangle is 6 cm and its length is 9 cm