Question

A rectangular garden measures 28ft by 47ft. Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Answer 1

Answer: 486 square feet;

Explanation:

Area of the garden = 28 x 47 = 1316ft.²

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Length of the garden and path = Length of the garden + 3 ft. on both sides

Length of the garden and path = 28 + 3 + 3 = 34 ft.

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Width of the garden and path = Width of the garden + 3 ft. on both sides

Width of the garden and path = 47 + 3 + 3 = 53ft.

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Area of the garden and path = Length x Width

Area of the garden and path = 34 x 53 = 1802 ft²

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Area of the path = Area of the garden and path - Area of the garden

Area of the path = 1802 - 1316 = 486ft²

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Answer: 486ft²

Answer 2

486 square feet

Explanation:

To calculate the area of the path, first find the dimensions of the garden, including the path. Then find the area of this larger outer rectangle and subtract the area of the inner rectangle (the garden without the path).

The garden measures 28ft by 47ft.

The path is 3ft wide, so it adds a total of 6ft to the length (3ft on each side) and 6ft to the width.

The dimensions of the garden, including the path:

Length: 47ft + 6ft = 53ft

Width: 28ft + 6ft = 34ft

Find the area of the outer rectangle (including the path):

Area_outer = Length * Width = 53ft * 34ft = 1802 sq ft

Find the area of the inner rectangle (the garden without the path):

Area_inner = 28ft * 47ft = 1316 sq ft

Now subtract the area of the inner rectangle from the area of the outer rectangle to find the area of just the path:

Area_path = Area_outer - Area_inner = 1802 sq ft - 1316 sq ft = 486 sq ft

So, the area of the path is 486 square feet.