Arectangle has a length that is 3 more than twice its width. if its area is 152ft^2, what is its perimeter

Step-by-step explanation:

Let's start by writing what we know in mathematical terms.

A rectangle has a length that is 3 more than twice its width, means:

Now all we have to do is solve for one of these values. I'll choose W.

Rewrite the equation:

Input that information into our second equation and solve:

Find the two W values by factoring the equation (note that the Width can't be negative because you can't have a negative rectangle):

We pick the positive value 8 and plug it into our original equation to find Length:

Finally, after all that, we can use the formula of a perimeter using our newly found Length and Width values (remember not to forget "ft^2" when we get our answer):