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

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

<p>$900 , m^2$ (A)</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>$72 , m$ (A)</p> Signup and view all the answers

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

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

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

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

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

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

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

<p>$\frac{77}{2} m^2$ (A)</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 (D)</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 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(Ï€r²/2) = Ï€r².

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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