Question

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

Answer 1

Answer:
`x=5`

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\\\\(60)/(12)=x\\\\x=5`