Question

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 of 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"

Answer 1

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