Answer:
Step-by-step explanation:
Let w represent the width of the garden. Then the width of the garden and walk together will be w+6. The length of the garden is described as w+10, so the length with the walk is w+16.
The difference in areas with and without the walk is 396 square feet:
(w+6)(w+16) -(w)(w+10) = 396
w² +22w +96 -(w² +10w) = 396 . . . . expand products
12w = 300 . . . . . . collect terms, subtract 96
w = 25 . . . . . . . . . divide by 12
The dimensions of the garden are 25 feet wide by 35 feet long.
