The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the length of the base?

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

where l is width, h is height, and p is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width.  We can express that as .

We can plug that definition of w into the perimeter equation to find the length:

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

So the width is 18

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.