The floor of the room is 6m long and 4.2m wide.it has a border of 20cm laid with green marblr.the remaining floor has a white marble.find the area covered wth green and white marble
Answers
The area of the floor covered with green marble is 3.92 m² and white marble is 21.28 m² .
Step-by-step explanation:
Step 1:
Dimensions of the floor of the room:
Length, l = 6 m
Breadth, b = 4.2 m
∴ The area of the entire floor of the room,
= l * b
= 6 * 4.2
= 25.2 m²
Step 2:
The floor has a border of green marble of 20 cm = 0.2 m
Dimensions of the floor with white marble (excluding the border of green marble):
New length = l – 2w = 6 – (2*0.2) = 5.6 m
New breadth = b – 2w = 4.2 – (2*0.2) = 3.8 m
∴ Area of the remaining floor covered by the white marble,
= 5.6 * 3.8
= 21.28 m²
Therefore,
The area covered by the border containing the green marble is given by,
= [Area of the entire floor of the room] – [Area of the remaining floor covered by the white marble]
= 25.2 m² – 21.28 m²
= 3.92 m²
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