SOLUTION: A rectangular garden measures 23ft by 41ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answe

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A rectangular garden measures 23ft by 41ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answe      Log On

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Question 1193973: A rectangular garden measures 23ft by 41ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.


Found 3 solutions by math_tutor2020, greenestamps, josgarithmetic:
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

For each dimension, we'll add on 4 feet because we're really adding on two copies of 2 ft each.
The 23 updates to 23+4 = 27
The 41 updates to 41+4 = 45

When including the uniform path, the rectangle is 27 ft by 45 ft.
The larger rectangle has area 27*45 = 1215 sq ft.
The original rectangle has area 23*41 = 943 sq ft.
The difference of these areas is exactly the area of the path only.
1215-943 = 272

Answer: 272 square feet

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The solution from the other tutor is fine; here is a different path to the answer.

Along each of the four edges of the garden is a rectangular section of the path 2 feet wide. The total area of those four rectangular sections is 46+82+46+82 = 256 square feet.

Then there is a 2ft by 2ft section of the path in each of the four corners, for an additional 4*4 - 16 square feet.

ANSWER: 256+16 = 272 square feet


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The combined area, %2823%2B2%2A2%29%2841%2B2%2A2%29

Just the garden area, 23%2A41

JUST the area of the path surrounding, %2823%2B4%29%2841%2B4%29-23%2A41
23%2A41%2B4%2A41%2B4%2A23%2B4%5E2-23%2A41
4%2A41%2B4%2A23%2B16
4%2841%2B23%29%2B16
4%2A64%2B16
highlight%28272%29