SOLUTION: A garden is rectangular with a width of 12 feet and a length of 6 feet. If it is surrounded by a walkway 2 feet wide, how many square feet of area does the walkway cover? Than

Algebra ->  Rectangles -> SOLUTION: A garden is rectangular with a width of 12 feet and a length of 6 feet. If it is surrounded by a walkway 2 feet wide, how many square feet of area does the walkway cover? Than      Log On


   

Question 1026807: A garden is rectangular with a width of 12 feet and a length of 6 feet. If it is surrounded by a walkway 2 feet wide, how many square feet of area does the walkway cover?

Thank you.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This analysis is done strictly in symbols.

w for width of the garden, L for the length of the garden. The uniform width of the walkway around the garden is u.

Area of the garden, wL
Area of the walkway AND garden together, %28w%2B2u%29%28L%2B2u%29

Area of the combined walkway & garden MINUS area of just the garden IS the area of just the walkway.
highlight%28%28w%2B2u%29%28L%2B2u%29-wL%29------which you should find is simplifiable.