Question

A rectangular garden has an area of 300 square feet. The length of the garden is 5 feet longer than the width. Find the dimensions of the garden in feet.

Answer 1

Let the width of the garden be x feet.

Then the length of the garden will be x + 5 feet.

The area of a rectangle is given by the formula: Area = length * width.

Given that the area is 300 square feet, we have:

x(x + 5) = 300

Expanding the equation:

x^2 + 5x = 300

Rearranging the equation into a quadratic form:

x^2 + 5x - 300 = 0

Factoring the quadratic equation:

(x + 20)(x - 15) = 0

So, x = 15 or x = -20

Since the width cannot be negative, we can disregard the negative solution.

Therefore, the width of the garden is 15 feet and the length is 20 feet (15 + 5).

Thus, the dimensions of the garden are 15 feet by 20 feet.