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Zarrin [17]
3 years ago
11

A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of

one of the tiles. round to the nearest tenth.
Mathematics
1 answer:
iris [78.8K]3 years ago
3 0
Given: 
8 tiles
radius from the center of the archway to the inner edge of the tile. 7 ft.
radius from the center of the archway to the outer edge of the tile. 8 ft = 7 ft + 1 ft.

Area of a semi circle = π r² / 2 
A = (3.14 * (7ft)²) / 2 = (3.14 * 49ft²) / 2 = 153.86 ft² / 2 = 76.93 ft²
A = (3.14 * (8ft)²) / 2 = (3.14 * 64ft²) / 2 = 200.96 ft² / 2 = 100.48 ft²

100.48 ft² - 76.93 ft² = 23.55 ft²
23.55 ft² / 8 tiles = 2.94 ft² per tile.
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DaniilM [7]

Answer:

L = 68 ft

Step-by-step explanation:

To find the perimeter of something you need to add up all the sides

In this case I am assuming Sam's property is a square/rectangle

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If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l

  • 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
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With the width being solved, we can now plug that value into our length equation

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Answer:

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