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length = 24 m, breadth = 20m
Step-by-step explanation:
First case-
Let the breadth of room be x m
then, length will be x + 4m
Area of rectangle = length × breadth
Area of the room = x ( x + 4 )
= x² + 4x
2nd case-
length will be x + 10m
breadth will be x - 4m
Area of the room = x - 4 ( x + 10 )
= x² - 4x + 10x - 40
= x² + 6x - 40
Area is same in both the cases ---
x² + 4x = x² + 6x - 40
40 = 6x - 4x
40 = 2x
20 = x
Breadth = x = 20m
Length = x + 4 = 20 + 4 = 24 m
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