Answer: The length is 9 units and the width is 1 unit
Explanation:
We can use the formula for the area of a rectangle to solve this problem. The formula is A = l * w, where A is the area, l is the length, and w is the width.
We have A = 9, and we know that w = l - 8. Substituting this into the formula, we get:
9 = l * (l - 8)
We can rearrange this to solve for l:
9 = l^2 - 8l
Adding 8l to both sides of the equation, we get:
9 + 8l = l^2
Subtracting 9 from both sides, we get:
8l = l^2 - 9
We can factor this to get:
l(l - 9) = 0
Since the product of two numbers is zero only when one of them is zero, we can set each factor equal to zero and solve:
l = 0 or l - 9 = 0
Adding 9 to both sides of the second equation, we get:
l = 9
Therefore, the length of the rectangle is 9 units.