NCERT Class 8 Maths Ch 11 Mensuration Exercise 11.1
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Questions and Answers

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?

  • ₹ 16250
  • ₹ 17875 (correct)
  • ₹ 15400
  • ₹ 20125
  • 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?

    <p>$80 \times 40$</p> Signup and view all the answers

    If a square plot has a side length of 30 meters, what is its area?

    <p>$900 , m^2$</p> Signup and view all the answers

    If a rectangle has a length of 25 meters and a width of 12 meters, what is its perimeter?

    <p>$72 , m$</p> Signup and view all the answers

    What is the area of the rectangular floor in the given text?

    <p>129.5 m2</p> Signup and view all the answers

    What is the total perimeter of the rectangular floor in the given text?

    <p>48 m</p> Signup and view all the answers

    How many tiles are required to cover a floor of area 1080 m2 as per the provided information?

    <p>45000 tiles</p> Signup and view all the answers

    What is the formula for calculating the circumference of a circle according to the given text?

    <p>$C = 2 \times \pi r$</p> Signup and view all the answers

    In the provided solution, what is the area of two circular ends combined?

    <p>$\frac{77}{2} m^2$</p> Signup and view all the answers

    For which food-piece would an ant have to take a longer round according to the text?

    <p>A circle with radius 3 cm</p> Signup and view all the answers

    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.

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    Description

    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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