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3 years ago

I'll give brainliest to the most reliable and well-explained answer.

Mathematics

2 answers:

kogti [31]3 years ago

5 0

Answer:

5.5 ft^2.

Step-by-step explanation:

The length of each side of the square piece of land = 24 / 4 = 6 feet.

Total area of the land = 6^2 = 36 ft^2.

There are 2 triangular areas each side of the path.

Area of the top triangle = 1/2 * 6^2 = 18 ft^2.

Area of the bottom one = 1/2 * 5^2 = 12.5 ft^2.

So the area of the path = 36 - 18 - 12.5

= 36 - 30.5

= 5.5 ft^2.

lapo4ka [179]3 years ago

4 0

Answer:

Option B. 5.5 ft²

Step-by-step explanation:

Perimeter of the square piece of land = length of fence required

4(length of a side of the square) = 24 ft

Length of a side = 6 ft

Area of the square land = (Side)²

= 6²

= 36 square ft

Area of the side walk = Area of the square - [Area of two triangles separated by the sidewalk]

= 36 - [1/2 (Area Of The Sqaure) + 1/2 (Base) (Height) ]

= 36 - [36/2 + 1/2 (6 - 1) (6 - 1)]

= 36 - (18 + 12.5)

= 36 - 30.5

= 5.5 ft²

Therefore, Option B. is the correct answer.

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