The length of a vegetable garden is 4 feet longer than its width. If the area of the garden is 45 square feet, find its dimensions.

The dimension of the vegetable garden farm is 9 feet by 5 feet

Step-by-step 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