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Answer:
Dimensions of original room = 12 x 12 feet.
Explanation:
Let the size of old square room be a x a.
New dimension = ( a+4 ) x ( a + 6 )
We have area of the new room will be 144 square feet greater than the area of the original room.
So, ( a+4 ) x ( a + 6 ) = a x a + 144
a²+10a+24= a²+144
10a = 120
a = 12 feet.
Dimensions of original room = 12 x 12 feet.
He final number is 5 times the original number
1, 3, and 5 because you can multiply all these numbers to get 15
12 students/1 teacher = 276 students/x teachers
Students are on top of the ratio and teachers are on the bottom of the ratio. It must remain the same on both sides of the equation.
12 x = 276
divide by 12
x =23