Answer:
the length of room is 24 feet
Step-by-step explanation:
Let the breadth be x .
Then, Length, l = x + 9
According to the question,
Area of rectangle = length × breadth
Putting the values of length and breadth, we get:
360 = ( x + 9 ) x
360 = x² + 9x
x² + 9x - 360 = 0
x² + 24x - 15x - 360 = 0
x( x + 24) - 15(x + 24) = 0
( x + 24 ) = 0 or ( x - 15 ) = 0
x = - 24 or x = 15 [ Negative number is ignored ]
Now,
Length, l = x + 9 = 15 + 9 = 24 feet
Thus, the length of room is 24 feet .
