12 Questions
Which field has a larger area?
The square field
What is the total cost of developing a garden around Mrs. Kaushik's house?
₹ 17875
What is the perimeter of the garden with a rectangular middle and semicircular ends?
$80 + 40 + rac{1}{2}(80 + 40)$
What is the area of the rectangular part of the garden?
$80 \times 40$
If a square plot has a side length of 30 meters, what is its area?
$900 , m^2$
If a rectangle has a length of 25 meters and a width of 12 meters, what is its perimeter?
$72 , m$
What is the area of the rectangular floor in the given text?
129.5 m2
What is the total perimeter of the rectangular floor in the given text?
48 m
How many tiles are required to cover a floor of area 1080 m2 as per the provided information?
45000 tiles
What is the formula for calculating the circumference of a circle according to the given text?
$C = 2 \times \pi r$
In the provided solution, what is the area of two circular ends combined?
$\frac{77}{2} m^2$
For which food-piece would an ant have to take a longer round according to the text?
A circle with radius 3 cm
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 2πr, 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.
This quiz provides solutions for Exercise 11.1 from Chapter 11 of Class 8 Maths NCERT textbook on Mensuration. It focuses on determining the field with a larger area between a square and a rectangular field with the same perimeter.
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