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Suppose you have a square room with an area of 4x² + 16x + 16.
1. Find the binomial that represents each side of your room.
2. If the measure of the side of your room is 300 inches, what is the value of x?
3. What is the area of the square?
4. Suppose you want to tile the floor of your room; how many 30 x 30 inches
tiles will be used?
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Sagot :

IndiumBaridn

Answer:

1. 2x+4

2. 148

3. 90,000 [tex]in^{2}[/tex]

4. 100 tiles

Step-by-step explanation:

1. take binomial

4x^2 + 16x + 16

= (2x+4)(2x+4)

therefore each side is (2x+4)

2. if one side is 300 in, find x

2x + 4 = 300

2x = 296

x = 148

therefore, if one side is 300 in, x is 148 (in inches)

3. find the area

sol 1.

300in * 300in

= 90,000 in^2

therefore, the area of the room is 90,000 [tex]in^{2}[/tex]

4. how many 30x30 inches can be used

sol 1

length of the room = 300 in

length of the tile = 30 in

300/30 = 10, 10 tiles in a row

300/30 = 10, 10 tiles in a column

10*10 = 100, 100 tiles total

sol 2

30*30 = 900, area of a single tile

90,000/900 = 100

therefore, 100 tiles can fit in the room

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