Answer:
The dimension of the vegetable garden farm is 9 feet by 5 feet
Explanation:
In this question, we are tasked with calculating the dimensions of vegetable garden that is rectangular in shape.
Let the width of the garden be x feet, since the length of the garden is 4 feet longer, the length thus have a measure of (x + 4) feet
we have the value of the area, meaning multiplying the length and the width will yield that area
x(x + 4) = 45
x^2 + 4x -45 = 0
x^2 +9x -5x -45 = 0
x(x + 9) -5(x + 9) = 0
(x-5)(x+9) = 0
x = 5 or -9
we ignore the negative and width cannot be negative
Thus, x = 5 feet
Length = x + 4 = 5 + 4 = 9 feet