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GarryVolchara [31]
3 years ago
7

Martin is covering his bathroom floor with square tiles. When he gets to the end of a row of tiles, he needs to cut the length o

f the last tile by 4 inches in order to cover the remaining area.
The area of the new tile is given by the quadratic expression below, where x represents the side length, in inches, of the original tile.

x(x-4)

Determine which polynomial represents each component of this situation.

(x - 4)
4x
x2
x
"area of original tile"
"the length of the new tile"
"the width of the new tile"
"the area removed from the tile"
Mathematics
1 answer:
kati45 [8]3 years ago
6 0

All squares are equal sides.Let X be the side of a square.\\Area of square,A = x^2

Here a tile is a square of side length 'x'. The following  polynomial represents,

(x - 4) represents "the width of the new tile" (because 4 inches cut from the tile)

4x represents "the area removed from the tile" (since one side of removed tile is 'x' and other is 4 inches.)

x2  represents "area of original tile" of side equal to 'x'

x represents "the length of the new tile" (since length of new tile  is not reduced. Length =x and breadth is x-4

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