8. A machine made up of two or more sloping surfaces is known as a
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Answer:
A machine made up of two or more sloping surfaces is known as a wedge .
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Length of the plot with path = 30m + 1m = 31m
Breadth of the plot with path = 25m + 1m = 26m
Perimeter of a rectangle = 2 ( length + breadth )
==> 2 ( 31m + 26m )
==> 2 ( 57m )
==> 114m
Therefore, the perimeter of the plot along with the path is 114m.
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Length of the pond = 25m
Breadth of the pond = 22m
Area of the pond = length × breadth
==> 25m × 22m
==> 550m²
Length of the pond with boundary = 25m + 2 1/2m = 25m
Breadth of the pond with boundary = 22m + 2 1/2m = 24.5m
Area of the pond with boundary = length × breadth
==> 25m × 24.5m
==> 612.5m²
Area of the boundary = Area of pond with boundary - Area of the pond
==> 612.5m² - 550m²
==> 62.5m²
Therefore, the area of the boundary around the pond is 62.5m²
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A square grass plot 600m long is bordered on the outside by a path 10m wide. Find the cost of paving the path at Rs.250 per 100m².
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100cm = 1m
Length of the table = 1.8m = 180cm
Breadth of the table = 1m = 100cm
Area of the table = length × breadth
==> 180cm × 100cm
==> 18,000cm²
Length of the book = 15cm
Breadth of the book = 10cm
Area of the book = length × breadth
==> 15cm × 10cm
==> 150cm²
No. of books on the table = Area of the table /Area of the book
==> 18,000cm²/150cm²
==> 120
Therefore, 120 books can be kept.
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1m = 100cm
Length of room = 6m = 600cm
Breadth of room = 4m = 400cm
Area of the room = length × breadth
==> 600cm × 400cm
==> 2,40,000cm²
Length of the tile = 50cm
Breadth of the tile = 40cm
Area of the tile = length × breadth
==> 50cm × 40cm
==> 200cm²
No. of tiles required = Area of the room / Area of the tile
==> 2,40,000cm²/200cm²
==> 1200tiles
Therefore, 1200 tiles are required.
Total cost for 120 tiles if Rs.4.50 per tile :
==> Rs.4.50 × 1200 tiles
==> Rs.5400
Therefore, the total cost is Rs.5400.
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Length of floor = 1.5m
Breadth of floor = 1.2m
Area of the floor = length × breadth
==> 1.5m × 1.2m
==> 1.8m²
Length of room = 6m
Breadth of room = 4.8m
Area of the room = length × breadth
==> 6m × 4.8m
==> 28.8m²
No. of students = Area of the room / Area of the floor
==> 28.8m² / 1.8m²
==> 16
Therefore, 16 students can be accommodated in the room.
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Length of garden = 10m
Breadth of garden = 8m
Area of garden = length × breadth
==> 10m × 8m
==> 80m²
Each sapling requires 5m².
So, for 80m² : Area of garden / Area for each sapling
==> 80m²/5m²
==> 16
Therefore, 16 saplings are planted in the garden.
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