Final answer:
To calculate the length and width of the rectangle with a perimeter of 24 inches and the length being 8 inches longer than the width, we found the width to be 2 inches and the length to be 10 inches using the formula for perimeter.
Step-by-step explanation:
The perimeter of a rectangular garden is 24 inches, with its length being 8 inches longer than its width. To find the length and width of the rectangle, let w be the width and let the length then be w + 8. The perimeter P of a rectangle is given by P = 2l + 2w, where l is length and w is width.
Using the formula, we have:
24 = 2(w + 8) + 2w
24 = 2w + 16 + 2w
24 = 4w + 16
24 - 16 = 4w
8 = 4w
w = 2
The width is 2 inches and the length, being 8 inches longer, is:
w + 8 = 2 + 8 = 10 inches.
Hence, the width is 2 inches and the length is 10 inches.