Question

The area of a tiled kitchen floor is represented by the expression 4x2 + 24x + 27, where x represents the length of a single tile. The length, l, of the floor is 9 feet more than twice the length of a tile, x. Which expression represents the width of the kitchen in terms of x?

Answer 1

The correct answer should be "2x + 3".

Answer 2

let
x--------> represents the length of a single tile
L-------> the length of the floor
W------> the width of the floor
A--------> area of a tiled kitchen floor

we know that
A=W*L
A=4x² + 24x + 27
so
W*L=4x² + 24x + 27---------> equation 1
L=2x+9------> equation 2

substitute equation 2 in equation 1
W*[2x+9]=4x² + 24x + 27
W=[4x² + 24x + 27]/[2x+9]

therefore

the answer is
the expression that represents the width of the kitchen in terms of x is
W=[4x² + 24x + 27]/[2x+9]