A rectangular room is 12-1/2 feet long and 10-1/3 feet wide. What is the area of the room?

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 .

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step-by-step explanation: