Answer:
The value value of possible width of the room is 13 feet .
Step-by-step explanation:
Given as :
The length of a rectangular room is twice its width
Let the measure of width of room = w feet
So, The length measure = 2 time w
I,e L = 2 × w
Now,
Let The perimeter of rectangle = P feet
∵ Perimeter of rectangle = 2 × Length + 2 × width
Or, P = 2 × L + 2 × w
Or, P = 2 × 2 × w + 2 × w
Or, P = 4 × w + 2 × w
Or, P = 6 × w
Now, According to question
Perimeter must be greater than 72 feet
So , from equation P = 6 × w
if w = 12 , then P = 6 × 12 = 72 feet
If w = 13 , then p = 6 × 13 = 78 feet
And for width = 13 , Length = 2 × 13 = 26
So, Perimeter = 2 × 26 + 2 × 13
or, P = 52 + 26 = 78
So, For width = 13 feet , the statement and equation satisfy
Hence The value value of possible width of the room is 13 feet . Answer
