The length of a Charlotte, North Carolina conservatory garden is 20 yards greater than its width. The area is 300 square yards. what are the dimensions??

The width of the garden is 10 yards.

The length of the garden is 30 yards.

Step-by-step explanation:

Let be the width of the garden so is its length.

We now that the area of a rectangle is width times length, so the area of our garden is . We also now that the area of the garden is 300 square yards so

Now we can solve our equation for to find the dimensions of our garden

- Splitting the middle term:

- Grouping similar terms:

- Using the zero property:

 or

  or  

Since distances cannot be negative, is the solution of our equation (and the width of our garden). Since the length is 20 yards more than the width, the length of our garden is 10 + 20= 30 yards.