SOLUTION: i dont know how to make the following into an equation. the perimeter of a rectangle is 40 ft. the width is 2ft more then half the length. find the length and width

Algebra ->  Equations -> SOLUTION: i dont know how to make the following into an equation. the perimeter of a rectangle is 40 ft. the width is 2ft more then half the length. find the length and width      Log On


   



Question 259223: i dont know how to make the following into an equation.
the perimeter of a rectangle is 40 ft. the width is 2ft more then half the length. find the length and width

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
i dont know how to make the following into an equation.
the perimeter of a rectangle is 40 ft. the width is 2ft more then half the length. find the length and width

the formula for perimeter is:

P = 2L + 2W

the width, W, is 2ft more then half the length, L.

So W equals 2 more than 1%2F2 times L.

So W = 2 more than 1%2F2L

To make something 2 more than it is, you add 2 to it.

So W = 1%2F2L + 2

Now go back to the formula

P = 2L + 2W.

Since "the perimeter of a rectangle is 40 ft", put 40 where the P is

and (1%2F2L + 2) where the W is

40 = 2L + 2(1%2F2L + 2)

Can you solve that for L? If not post again asking how. 

Answer: L = 12

Then you go back to the equation:

W = 1%2F2L + 2

and substitute 12 for L

and you get 8

So the length is 12 feet and the width is 8 feet.

Edwin