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RUDIKE [14]
3 years ago
10

The area of a tiled kitchen floor is represented by the expression 4x2 + 24x + 27, where x represents the length of a single til

e. 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?
Mathematics
2 answers:
Dafna11 [192]3 years ago
6 0

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

Readme [11.4K]3 years ago
5 0
Let
x--------> <span>represents the length of a single tile
L-------> t</span><span>he length of the floor
W------> the</span><span> width of the floor
A--------> </span>area of a tiled kitchen floor
<span>
we know that
A=W*L
A=</span>4x²<span> + 24x + 27
</span>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 <span>expression that represents the width of the kitchen in terms of x is
</span>W=[4x² + 24x + 27]/[2x+9]

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