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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