The scale of a floor plan is 1:250. Find the dimensions of a room which measures 2 cm by 1.5 cm on the plan.
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Answer:
The dimension of the room is 5\text{ m} \times 3.75\text{ m}5 m×The dimension of the room is 5\text{ m} \times 3.75\text{ m}5 m×3.75 m
Step-by-step explanation:
Given scale = 1 : 250
i.e. i unit on the plan is 250 unit on the ground
Dimensions of the room in the plan
=2\text{ cm}\times 1.5\text{ cm}=2 cm×1.5 cm
Therefore, the actual dimensions of the room
=2\times 250\text{ cm} \text{ by}1.5\times 250\text{ cm}=2×250 cm by1.5×250 cm
=500\text{ cm} \text{ by}375\text{ cm}=500 cm by375 cm
=5\text{ m} \times 3.75\text{ m}=5 m×3.75 m
Therefore, the dimension of the room is 5\text{ m} \times 3.75\text{ m}5 m×3.75 m
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