Answer:
45 feet by 50 feet
Explanation:
A rectangular garden has an area(A) that is the product of its length (L) and width (W).
We are told that L = W+5 [. . . is 5 feet longer than it is wide]
We also find that Area = 2250 ft^2
Since A = L*W, lets enter what we know:
Area = (Substitute W+5 for L)*W
2250 ft^2 = (W+5)*W
This give us: W^2 + 5W = 2250 ft^2
Rewrite: W^2 + 5W - 2250 = 0
Solve with the quadratic equation.
The solutions are 45 ft and - 50 feet. We can drop the -50 ft option, so we are left with W = 45 feet. Since L=W+5, the length, L, would therefore be 50 feet.
The rectangular garden is 45 by 50 feet.
CHECK
Does 45 by 50 feet give 2250 ft^2 area? YES
Is the length 5 feet longer than the width? YES (50 - 45 = 5 feet)