Question

The area of the rectangle is 54 units squared. Write and solve an equation to find x.

Answer 1

Answer: $x=5$

Step-by-step explanation:

The area of a rectangle can be found with the following formula:

$A=lw$

Where "l" is the length and "w" is the width.

In this case you can identify in the figure given in the exercise that:

$l=4x-2\\\\w=3$

You know that the area of that rectangle is the following:

$A=54$

Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:

$54=(4x-2)(3)\\\\54=12x-6\\\\54+6=12x\\\\\frac{60}{12}=x\\\\x=5$