Two rectangular adjacent rooms share a wall 1‘ x 1‘ tiles cover the floor of each room describe how the greatest possible length
of the adjoining wall is related to the total number of tiles in each room
1 answer:
Answer:
Consider two adjacent rectangular rooms having Length=L, and, Breadth = B
Now Suppose the wall which is in between two rooms has a height or length =H.
Breadth of wall = B [ if the wall doesn't exceed the breadth of room]
Considering two rooms to be identical,
Area of each room= L × B square unit
Area of each tile = 1×1=1 square unit
Number of tiles required= L B ÷ 1= LB tiles( product of length and breadth of room is number of tiles required)
Suppose if,LB= N
B= N/L .................(1)
Area of wall(W) = B×H= B H square unit
B =W/H ......................(2)
Equating (1) and (2)
⇒N/L = W/ H
⇒H =
⇒H =
⇒H = W/B
⇒ H =
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