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]

5 0

3 years ago

Read 2 more answers

Which of the following equations can be used to find the length of EF in the

Vinil7 [7]

The equation which can be used to find the length of EF is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Given the length of base of right angled triangle is 12 and the hypotenuse be 24.

We are to find the length of EF and tell which equation can be used to find the length of EF.

We know that pythagoras theorem applies in a right angled triangle.

Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.

$H^{2} =B^{2} +P^{2}$

In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.

$(DE)^{2} =(EF)^{2} +(DF)^{2}$

EF= $\sqrt{DE^{2}-DF^{2} }$

= $\sqrt{(24)^{2} -(12)^{2} }$ --1

= $\sqrt{576-144}$

= $\sqrt{432}$

Hence the equation which can be used to find the length of Ef is option A which is EF= $\sqrt{24^{2} -12^{2} }$ .

Question is incomplete as it should include the figure also.

Learn more about pythagoras theorem at brainly.com/question/343682

#SPJ1

3 0

2 years ago

Solve for the area:<br><br><br><br> 32 cm^2<br> 16 cm<br> 32 cm<br> 16 cm^2

MA_775_DIABLO [31]

<h3>Given : </h3>

Base of triangle = 8 cm
Height of triangle = 4 cm

$\\$

Area of triangle = ?

$\\$

<h3>Solution :</h3>

As, we have :

Base of triangle, b = 8 cm
Height of triangle, h = 4 cm

$\\$

So, to find area of triangle we have a formula :

$\large \underline{\boxed{\bf{Area_{(triangle)} = \dfrac{1}{2} \times b \times h}}}$

$\tt : \implies Area = \dfrac{1}{2} \times 8 \: cm \times 4 \: cm$

$\tt : \implies Area = \dfrac{1}{2} \times 32 \: cm^2$

$\tt : \implies Area = \cancel{\dfrac{32}{2}} \: cm^2$

$\tt : \implies Area = 16 \: cm^2$

$\\$

Hence, area of given triangle is 16 cm².

5 0

3 years ago

Find the value of x.

Travka [436]

In order to solve you must find the value of the blank angle.
Here is your first equation.
126 + x = 180
Subtract 126 from both sides.
x = 54
So now add up all the angles.
x + (2x + 6) + 54 = 180
Combine like terms.
3x + 60 = 180
Subtract 60 from both sides.
3x = 120
Divide.
x = 40
Now check your answer.
40 + 2(40) + 6 + 54 = 180
40 + 80 + 6 + 54 = 180
120 + 60 = 180
180 = 180
There is a solution. The answer is 40.
I hope this helps love! :)

3 0

3 years ago