Answer:
The dimensions of rectangle are:
Width = 15 inches
Length = 82 inches
Step-by-step explanation:
Perimeter of rectangle = 1944 inches
Let
Width of rectangle = w
Length of rectangle = w+67
We need to find the dimensions (length and width) of the carpet
The formula used will be: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]
Putting values and finding dimensions
[tex]Perimeter\:of\:rectangle=2(Length+Width)\\194=2(w+67+w)\\194=2(2w+67)\\194=4w+134\\Swirching\:sides\\4w+134=197\\Subtracting\:134\:on\:both\:sides\\4w+134-134=194-134\\4w = 60\\Divide\:both\:sides\:by\:4\\\frac{4w}{4}=\frac{60}{4}\\w=15[/tex]
So, we get w = 15
Now, finding length : w+67 = 15+67 = 82
Therefore the dimensions of rectangle are:
Width = 15 inches
Length = 82 inches
