What is the answer?

Question

A rectangle has a perimeter of 18 inches. A new rectangle is formed by trypling the width and doubling the length. The new rectangle has a perimeter Of of 46 inches.

Answer 1

Hy Hilda,

 

Perimeter of  the first rectangle = 2L + 2W

 

 

Perimeter of the second rectangle = 2(2L) + 2(3W)

 

 

2L + 2W = 18

 

4L + 6W = 46

 

 

Now solve for the length and width by using either elimination or substitution.

 

Multiply the first equation by -2.

 

-4L - 4W = -36

 

4L + 6W = 46

 

 

 

Add these 2 equations together.

 

2w = 10

 

w = 5

 

2L = 18 - 10

 

2 l = 8

 

L = 4

 

 

The length of the rectangle is 4 inches and its width is 5 inches. You can do a solution check by substituting these values into any of the above equations.

 

 

 

regards,

 

Mayuran