Mrs.Smith asks the landscaper to place a walking path of uniform width around the rose garden. how wide will the landscaper make the walking path

Question

The rose garden measures 12 feet by 20 feet

 

the area of the walking path is 68 feet

Answer 1

You need to draw a rectangle that has dimensions 12+2x by 20+2x, representing the widening of original garden's length & width.

 

The above gives you an area of a bigger rectangle; now subtract the area of the rose garden (12 by 20 ft). This difference is the area of the added walking path.  Set that equal to 68 SQUARE FEET.

 

You now have a quadratic equation--you can solve it.