What are the length and width of the frame?

Question

The perimeter of a rectangular picture frame is 62 inches. The difference of the length of the frame and twice its with is 1. where L represents the length in inches and W represents the with in inches.  

Answer 1

Hey Ley, we know the formula for perimeter of a rectangle. It is P = 2L + 2W, where L = length and W = width.

 

We can let x = length and y = the width. Substituting into the perimeter formula, we get:

 

2x + 2y = 62

 

We also know from the problem that x - 2y = 1

 

Now, we have a system of two equations, which can be solved by substitution. It would be easier to solve the second equation for x and substitute this into the first equation.

 

Can you handle the rest, Ley?