# If the area of the rectangle below in 4 square feet, what is the value of x? 1/3 square (3x-6)

If the area of the rectangle below in 4 square feet, what is the value of x?
$\frac{1}{3}$
$3x-6$
1) 3
2) 6
3) 9
4) 12
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Nancy Phillips
Step 1
We have,
The length of rectangle, $\alpha =\left(3x-6\right)$
width of rectangle, $b=\frac{1}{3}$
Area of the rectangle, $A=4f{t}^{2}$
Step 2
We can evolution the value of x by using the of rectangle as following:
$A=\alpha b$
$⇒4=\frac{1}{3}\left(3x-6\right)$
$⇒4=\frac{3x}{3}-\frac{6}{3}$
$⇒4=x-2$
$⇒x=6$
Hence, the value of x is 6.