Question

A rectangular garden measures 29 ft by 37 ft. surrounding (and bordering) the garden is a path 2 ft wide . find the area of this path.
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Answer 1

Answer: The area of the path is 280 ft^2

(Note that 280 ft^2 means “280 feet squared”)

Step-by-step explanation: The first clue in this question is the dimensions of the rectangular garden which have been given as 29 ft by 37 ft. So we can conveniently compute the area of the garden as follows;

Area = L x W

(Length is 37 ft and Width is 29 ft)

Area = 37 x 29

Area = 1037 ft^2

However there is a path surrounding the garden which is 2 ft wide on all four sides. This means both borders of the length have an extra 4 feet of measurement while both borders of the width also have an extra 4 feet of measurement. So, if the surrounding border and garden is measured altogether, the length would become (37 + 4= 41) 41 feet while the width would become (29 + 4 = 33) 33 feet. So the area of the garden and the surrounding path inclusive can be calculated as

Area = L x W

Area = 41 x 33

Area = 1353 ft^2

To determine the area of ONLY THE SURROUNDING PATH, we simply deduct the area of the GARDEN ONLY (1073 ft^2) from the area of GARDEN AND SURROUNDING PATH (1353 ft^2)

Therefore area of the path surrounding the garden becomes

Area of path = 1353 - 1073

Area of path = 280 ft^2