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I'll give brainliest to the most reliable and well-explained answer.
It takes 24 feet of fence to surround a square piece of land in Linda’s backyard. Linda wants

to plant flowers everywhere but on the diagonal sidewalk (shaded in the diagram below).

Note that there is 1 foot of sidewalk along two sides of the square as indicated in the

diagram below. What is the area of the sidewalk?

I'll give brainliest to the most through and reliable answer.

Ill give brainliest to the most reliable and wellexplained answerIt takes 24 feet of fence to surround a square piece of land in Lindas backyard Linda wantsto p class=

Respuesta :

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.

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.

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