Question
(ii) A carpet is laid on the floor of a room 8m by 5m. There is a border of constant width all around the carpet. If the area of the border is , find its width.
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Text solutionVerified
Area of border
Length of room
Breadth of room
Area of room (carpet border)
Let x be the width of carpet
Length of carpet
Breadth of carpet
Area of carpet
Now,
Area of ground Area of border Area of carpet
After solving above equation, we have
or (ignore as it is longer than room)
So, Width of border
Length of room
Breadth of room
Area of room (carpet border)
Let x be the width of carpet
Length of carpet
Breadth of carpet
Area of carpet
Now,
Area of ground Area of border Area of carpet
After solving above equation, we have
or (ignore as it is longer than room)
So, Width of border
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Question Text | (ii) A carpet is laid on the floor of a room 8m by 5m. There is a border of constant width all around the carpet. If the area of the border is , find its width. |
Answer Type | Text solution:1 |
Upvotes | 150 |