length of a rectangle when only given perimeter

Question

When the length of a rectangle is x inches and the width is y​ inches, the perimeter is

22

inches. If the length is

tripled

and the width is

quadrupled

​,

the perimeter becomes

74

inches. Find the length and width of the original rectangle.

Answer 1

x+y = 22/2 = 11

3x+4y = 72/2= 36

3x +3y = 33

4y-3y = y= 36-33 = 3

y=3

x = 11-3 = 8

dimensions of 1st original rectangle are 3 inches by 8 inches