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givi [52]
3 years ago
13

A package of floor tiles contains 24 one foot tiles. Find how many packages should be bought to cover a square ballroom floor wh

ose side measures 64 feet.
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:

To cover a square ballroom 171 packages of tiles are required.

Step-by-step explanation:

Given:

1 package = 24 tiles.

Size of tile = 1 foot

Tiles are in square shape.

Hence Area of Tile = side^2 =1^2 = 1 ft^2

Also Given:

Side of the ballroom = 64 feet.

Ballroom floor is in square shape.

Hence we will find the Area of ballroom.

Area of ballroom = side^2

Are of ballroom = 64^2= 4096

Now we will find the Number of tiles required to cover ballroom.

Number of tiles required is equal to Area of ballroom divided by Area of Tile.

Framing in equation form we get;

Number of tiles required = \frac{4096}{1} =4096

Now Given that

1 package contains  = 24 tiles

Number of packages required  = 4096 tiles

By using Unitary method we get;

Number of packages required  = \frac{4096}{24} = 170.67 \approx171

Hence To cover a square ballroom 171 packages of tiles are required.

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7 0
3 years ago
Factor the expression completely.<br> 625x4 - 256y4
scoundrel [369]

<u>Answer:</u>

<u>(625 • (x4)) -  28y4</u>

<u></u>

<u>  54x4 -  28y4 3.1      Factoring:  625x4-256y4  </u>

<u> </u>

<u>Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B) </u>

<u> </u>

<u>Proof :  (A+B) • (A-B) = </u>

<u>         A2 - AB + BA - B2 = </u>

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<u>         A2 - B2Note :  AB = BA is the commutative property of multiplication. </u>

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<u> </u>

<u>Check :  625  is the square of  25  </u>

<u>Check : 256 is the square of 16 </u>

<u>Check :  x4  is the square of  x2  </u>

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<u>Check :  y4  is the square of  y2  </u>

<u> </u>

<u>Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  </u>

<u> </u>

<u>Check :  25  is the square of  5  </u>

<u>Check : 16 is the square of 4 </u>

<u>Check :  x2  is the square of  x1  </u>

<u> </u>

<u>Check :  y2  is the square of  y1  </u>

<u> </u>

<u>Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)</u>

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Answer:

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