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Darina [25.2K]
3 years ago
6

Which expression could be used to determine the area of the square?

Mathematics
2 answers:
mixas84 [53]3 years ago
8 0

Answer:

s²

Step-by-step explanation:

The area of a square would be the length of one side times the length of the adjacent side, but since all of the side lengths for a square are the same, the area of a square would be the length of one side squared.

s = the length of one side of the square

s²

Vaselesa [24]3 years ago
5 0

The expression used to determine the area of the square is l^2, where l is the side length of the square.

This equation serves as the basis for the definition of area.

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A) Diagram

Below is a sketch of the recctangular lawn (the inside rectangle) and the gravel border.


  6 ft + 150 yards + 6 ft
-------------------------------
|                                    |
|     ---------------------      |
|     |                        |     |
|     |                        |     |   6 ft + 80 yard + 6 ft
|     |                        |     |
|      ---------------------     |
|                                    |
|------------------------------|

B) How many square feet of the gravel will surround the lawn?

Conversion: 1 yard = 3 feet

=> 80 yard = 80*3 feet = 240 feet

=> 150 yard = 150 * 3 feet = 450 feet

Area of the external rectangle = (6 ft + 240 ft + 6 ft) (6 ft + 450 ft + 6 ft) = 252 ft * 462 ft = 116,424 ft^2

Area of the internal rectangle = 240 ft * 450 ft = 108,000 ft^2

Area of the gravel border = 116,424 ft^2 - 108,000 ft^2 = 8424 ft^2

answer: 8424 ft^2

C) volume

volume = area of the base * depth

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=> volume = 8424 ft^2 * 1/6 ft = 1404 ft^3

answer: 1404 ft^3

C) cost

1 yard^3 = $ 30

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=> cost = $ 30 / 27 ft^3

=> 1404 ft^3 * $30 / 27 ft^3 = $ 1560

answer: $ 1560
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