A rectangular room is 7 meters longer than it is wide, and its perimeter is 46 meters.

Question

A rectangular room is
7
meters longer than it is wide, and its perimeter is
46
meters.

Answer 1

Hello, Brandon,

 

There is no question on this problem, but let's assume that you are trying to find the dimensions ( length and width).

 

1.  Highlight key words or numbers in story problem:

 

                                     l=  (w+7)                                                    p    =   46 meters

A rectangular room is 7 meters longer than it is wide, and its perimeter is 46 meters.

 

p=46 m

 

_______________

|                        | w=width

|______________|

 

       l=length=(w +7)

 

P=2l +2w            Use substitution.    Since perimeter was mentioned in the story problem, that is what formula you will use.

46 = 2(w+7) + 2w       Simplify by using the Distributive Property.  Then collect like terms to find "w." Remember

 

 

that the length= (w+7).

 

I am going to let you finish your problem.  Susan C.

I am going to let you solve for "w."  Let me know if you still need more help.  Susan C.