Question

a rectangular garden measures 20 ft by 35 ft. surrounding (and bordering) the garden is a path 3 ft wide. find the area of this path. be sure to include the correct unit in your answer.

Explanation:

Step1: Find total length and width

The path is 3 ft wide on both sides, so for length: \(35 + 3\times2 = 41\) ft, for width: \(20 + 3\times2 = 26\) ft.

Step2: Calculate total area (garden + path)

Total area \(A_{total}=41\times26 = 1066\) \(ft^2\).

Step3: Calculate garden area

Garden area \(A_{garden}=20\times35 = 700\) \(ft^2\).

Step4: Calculate path area

Path area \(A_{path}=A_{total}-A_{garden}=1066 - 700 = 366\) \(ft^2\).

Answer:

366 square feet (or \(366\ ft^2\))