## NCERT Solutions for Class 8 Chapter 11 Mensuration -Free PDF Download

Free PDF download of NCERT Solutions Maths Class 8 Solutions Chapter 11 – Mensuration solved by Expert Maths Teachers on CoolGyan.Org. All Chapter 11 – Mensuration Questions with Solutions for NCERT to help you to revise complete Syllabus and Score More marks.

Maths Revision Notes for Class 8

Chapter Name | Mensuration |

Chapter | Chapter 11 |

Exercise | Exercise 11.1 |

Class | Class 8 |

Subject | Maths NCERT Solutions |

Board | CBSE |

TEXTBOOK | CBSE NCERT |

Category | NCERT Solutions |

**NCERT SOLVED**

1. **A square and a rectangular field with measurements as given in the figure have the same perimeter.**

**Which field has a larger area?**

**Ans**. **Given:** The side of a square = 60 m and the length of rectangular field = 80 m

According to question,

Perimeter of rectangular file = Perimeter of square field

2(l+b) = 4 X Side

(80 + b) = 24022402

(80 + b) = 120

b = 120 – 80

b = 40 m

Hence, the breadth of the rectangular field is 40 m.

Now, Area of Square field= (Side)^{2}

= (60)^{2} sq.m = 3600 sq.m

Area of Rectangular field = (length breadth)

= 80 40 sq. m = 3200 sq. m

Hence, area of square field is larger.

2. **Mrs. Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs. 55 per m ^{2}.**

**Ans**. Side of a square plot = 25 m

Area of square plot = (Side)^{2} = (25)^{2} = 625 m^{2}

Length and Breadth of the house is 20 m and 15 m respectively

Area of the house = (length x breadth )

= 20 15 = 300 m^{2}

Area of garden = Area of square plot – Area of house

= (625 – 300) = 325 m^{2}

Cost of developing the garden around the house is Rs.55

Total Cost of developing the garden of area 325 sq. m = Rs.(55 325)

= Rs.17,875

3. **The shape of a garden is rectangular in the middle and semi-circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 – (3.5 + 3.5 meters]**

**Ans.** Given: Total length of the diagram = 20 m

Diameter of semi circle on both the ends = 7 m

Radius of semi circle = Diameter2Diameter2 = 7272= 3.5 m

**Length of rectangular field = [Total length – (radius of semicircle on both side)]**

={20 – (3.5 + 3.5)}

= 20 – 7 = 13 m

Breadth of the rectangular field = 7 m

** Area of rectangular field = ( l x b)**

= (13 7) 91

Area of two semi circles =

= = 38.5 m^{2}

Total Area of garden = (91 + 38.5)129.5 m^{2}

**Perimeter of two semi circles = **

= 22 m

Hence, Perimeter of garden = (22 + 13 + 13)m = 48 m

**4. A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080? [If required you can split the tiles in whatever way you want to fill up the corners]**

**Ans.** Base of flooring tile = 24 cm 0.24 m

height of a flooring tile = 10 cm 0.10 m **[1cm = 1/100 m]**

Now, **Area of flooring tile= Base Altitude**

= 0.24 0.10 sq. m

= 0.024 m^{2}

**Number of tiles required to cover the floor = **

=

= 45000 tiles

**Hence 45000 tiles are required to cover the floor.**

**5. An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression where is the radius of the circle.**

**Ans.** **(a)** Radius =

= 1.4 cm

**Circumference of semi circle = **

= 4.4 cm

**Total distance covered by the ant= (Circumference of semi circle + Diameter)**

=( 4.4 + 2.8 )cm

= 7.2 cm

**(b)** Diameter of semi circle = 2.8 cm

**Radius = = 1.4 cm**

**Circumference of semi circle = **

= 4.4 cm

**Total distance covered by the ant= (1.5 + 2.8 + 1.5 + 4.4) ****10.2 cm**

**(c)** Diameter of semi circle = 2.8 cm

**Radius = **

= 1.4 cm

**Circumference of semi circle = **

= 4.4 cm

**Total distance covered by the ant= (2 + 2 + 4.4) = 8.4 cm**

**Hence for figure (b) food piece, the ant would take a longer round.**