Answer:
43 ft. long, 28 ft. wide, area is 1204 sq. ft.
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Explanation:
<em>I had to draw a diagram for this, and I scribbled all over it, so bear with me as I try to describe this:</em>
The garden is x+15 ft long, and x ft wide. The path is x+23 ft long, and x+8 ft wide, because the path adds 4 ft all around. If you cut the path into smaller rectangles, and find the area of the rectangles, the path is concluded have an area of 16x+184 sq. ft. We already know the area of the path is 632 sq. ft, which in equation form is 16x+184=632. If you solve for x, you get 28 ft. That means the width of the garden is 28 ft. If the length is 15 ft. longer than the width, the length is 43 ft. I also calculated the area for just in case you need it. Let me know if this was helpful in the comments.
