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

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(3817)   (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)   (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)   (Show Source): You can put this solution on YOUR website!
The combined area,

Just the garden area,

JUST the area of the path surrounding,

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