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Questions and Answers
Which field has a larger area?
Which field has a larger area?
- Both fields have the same area
- Cannot be determined from the information provided
- The rectangular field
- The square field (correct)
What is the total cost of developing a garden around Mrs. Kaushik's house?
What is the total cost of developing a garden around Mrs. Kaushik's house?
- ₹ 16250
- ₹ 17875 (correct)
- ₹ 15400
- ₹ 20125
What is the perimeter of the garden with a rectangular middle and semicircular ends?
What is the perimeter of the garden with a rectangular middle and semicircular ends?
- $2(80 + 40) + rac{1}{2}(80 + 40)$
- Cannot be determined from the information provided
- $80 + 40 + rac{1}{2}(80 + 40) + rac{1}{2}(80 + 40)$
- $80 + 40 + rac{1}{2}(80 + 40)$ (correct)
What is the area of the rectangular part of the garden?
What is the area of the rectangular part of the garden?
If a square plot has a side length of 30 meters, what is its area?
If a square plot has a side length of 30 meters, what is its area?
If a rectangle has a length of 25 meters and a width of 12 meters, what is its perimeter?
If a rectangle has a length of 25 meters and a width of 12 meters, what is its perimeter?
What is the area of the rectangular floor in the given text?
What is the area of the rectangular floor in the given text?
What is the total perimeter of the rectangular floor in the given text?
What is the total perimeter of the rectangular floor in the given text?
How many tiles are required to cover a floor of area 1080 m2 as per the provided information?
How many tiles are required to cover a floor of area 1080 m2 as per the provided information?
What is the formula for calculating the circumference of a circle according to the given text?
What is the formula for calculating the circumference of a circle according to the given text?
In the provided solution, what is the area of two circular ends combined?
In the provided solution, what is the area of two circular ends combined?
For which food-piece would an ant have to take a longer round according to the text?
For which food-piece would an ant have to take a longer round according to the text?
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Study Notes
Garden and Rectangular Shapes
- The area of a rectangular garden can be calculated by multiplying its length and width.
- The perimeter of a rectangular garden can be calculated by adding the lengths of all its sides.
- A rectangular garden with a length of 25 meters and a width of 12 meters has a perimeter of 2(25 + 12) = 74 meters.
- A square plot with a side length of 30 meters has an area of 30² = 900 meters².
Circles and Semicircles
- The formula for calculating the circumference of a circle is 2Ï€r, where r is the radius.
- The area of a circular end can be calculated by finding the area of the circle and dividing it by 2.
- Two circular ends combined have a total area of 2(πr²/2) = πr².
Floor and Tiles
- The area of the rectangular floor is given in the text and can be used to calculate the number of tiles required to cover it.
- To find the number of tiles required, divide the area of the floor by the area of a single tile.
- If a floor has an area of 1080 m² and a tile has an area of 1 m², 1080 tiles are required to cover the floor.
Ant's Path
- An ant would have to take a longer round for a circular food-piece than a rectangular one.
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