SOLUTION: Can you please help me? A rectangular garden measures 22ft by 41ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this path.

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Question 934854: Can you please help me?
A rectangular garden measures 22ft by 41ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this path.

Found 2 solutions by josgarithmetic, vicgonzerx:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This somewhat incompleted solution process is being done here purely in symbols:

A rectangular garden measures w feet by L feet. Surrounding (and bordering) the garden is a path u feet wide. Find the area of this path.

All variables described are known, but area of the path is not known, and is what is wanted to be solved.

Total Area, garden plus path: %28w%2B2u%29%28L%2B2u%29
Garden area alone, wL
Just the path area, %28w%2B2u%29%28L%2B2u%29-wL

The area wanted, the path area alone, can be simplified.
%28w%2B2u%29%28L%2B2u%29-wL
wL%2B2wu%2B2Lu%2B4u%5E2-wL
highlight%28highlight%282wu%2B2Lu%2B4u%5E2%29%29------Answer purely in symbolic form, square feet area.

Answer by vicgonzerx(31) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangular garden =22ft by 41 ft
since we add 3 ft both side for path so the dimension including path is 28ft by 47 ft
so,
A1= 22ftx41 ft =902ft^2
A2=28ftx47ft=1316ft^2
Ap=area of path
Ap= A2-A1
Ap=1316-902
Ap=414ft^2 is the answer