A rectangle flower garden has a length that is 7 feet less than twice it's width. A 5-ft brick border is added around the garden, and the area of the garden and the brick border is a total of 195 square ft. Find the dimensions of the garden without the brick border. L=? W=?

Ok so if we call the width x then the length is 2x-7

Now by adding a 5 foot brick border around the edge the new dimensions are:

x+10 and 2x+3

Now we can form an equation to solve:

(x+10) (2x+3) = 195

2x²+23x+30=195

2x²+23x-165=0

Now we can solve this for x

(2x+33) (x-5) = 0

So x=-33/2 or x=5

As x cannot be less than 0 x must be equal to 5

So the dimensions of the garden are 5 feet by 3 feet