How many tiles like the triangle given here will fit in the white design? Also find the area of the design.

From the below figure, we can observe that, Area of white design = 1 full square + 4 half squares = 1 full square + 2 full square = 3 full square = 3 × 1 cm 2 = 3 cm 2 Hence, the area of the white design is 3 square cm . Area of one triangle = 1 2 square cm Number of tiles = area of the design area of one tile = 3 1 2 = 3 × 2 1 = 6 Hence, the number of tiles like that triangle is 6 .

Sanya, Aarushi, Manav and Kabir made greeting cards. Complete the table for their cards : Whose card Length Width Perimeter Area Sanya 10 cm 8 cm Manav 11 cm 44 cm Aarushi 8 cm 80 square cm Kabir 40 cm 100 square cm

For Sanya: Length of the card = 10 cm Width of the card = 8 cm Perimeter of the card = 2 l + b = 2 10 + 8 = 2 × 18 = 36 cm Area of the card = l × b = 10 × 8 = 80 cm 2 For Manav: Length of the card = 11 cm Perimeter of the card = 44 cm Perimeter of rectangle = 2 l + b 44 = 2 11 + b 22 = 11 + b b = 22 - 11 = 11 cm Area of the rectangle = l × b = 11 × 11 = 121 cm 2 For Aarushi: Width of the card = 8 cm Area of the card = 80 square cm Area of the rectangle = l × b 80 = l × 8 l = 80 8 = 10 cm Perimeter of the card = 2 l + b = 2 10 + 8 = 2 × 18 = 36 cm For Kabir: Perimeter of the card = 40 cm Perimeter of the rectangle = 2 l + b 40 = 2 l + b l + b = 20 l = 20 - b ----- 1 Area of the card = 100 square cm Area of the rectangle = l × b 100 = l × b From ( 1 ) , we have 100 = 20 - b b 100 = 20 b - b 2 b 2 - 20 b - 100 = 0 b - 10 2 = 0 b - 10 = 0 b = 10 cm l = 20 - 10 = 10 cm Hence, the complete table for cards is Whose card Length Width Perimeter Area Sanya 10 cm 8 cm 36 cm 80 cm 2 Manav 11 cm 11 cm 44 cm 121 cm 2 Aarushi 10 cm 8 cm 36 cm 80 cm 2 kabir 10 cm 10 cm 40 cm 100 cm 2

E M B I B E

MATH-MAGIC Book 5 Textbook in Mathematics for Class V>Chapter 11 - Area and its Boundary>Practice time

Meghalaya Board Solutions for Chapter: Area and its Boundary, Exercise 2: Practice time

Author:Meghalaya Board

Meghalaya Board Mathematics Solutions for Exercise - Meghalaya Board Solutions for Chapter: Area and its Boundary, Exercise 2: Practice time

Attempt the practice questions on Chapter 11: Area and its Boundary, Exercise 2: Practice time with hints and solutions to strengthen your understanding. MATH-MAGIC Book 5 Textbook in Mathematics for Class V solutions are prepared by Experienced Embibe Experts.

Questions from Meghalaya Board Solutions for Chapter: Area and its Boundary, Exercise 2: Practice time with Hints & Solutions

HARD

5th Meghalaya Board

IMPORTANT

MATH-MAGIC Book 5 Textbook in Mathematics for Class V>Chapter 11 - Area and its Boundary>Practice time>Q a)

Adnan plans to tile his kitchen floor with green square tiles. Each side of the tile is $10 cm$ . His kitchen is $220 cm$ in length and $180 cm$ wide. How many tiles will he need?

EASY

5th Meghalaya Board

IMPORTANT

MATH-MAGIC Book 5 Textbook in Mathematics for Class V>Chapter 11 - Area and its Boundary>Practice time>Q b)

The fencing of a square garden is $20 m$ in length. If one side of the garden is $k m$ long, write the value of $k$ .

HARD

5th Meghalaya Board

IMPORTANT

MATH-MAGIC Book 5 Textbook in Mathematics for Class V>Chapter 11 - Area and its Boundary>Practice time>Q c)

A thin wire $20$ centimeters long is formed into a rectangle. If the width of this rectangle is $4$ centimeters, the length is $k cm$ , find the value of $k$ .

MEDIUM

5th Meghalaya Board

IMPORTANT

MATH-MAGIC Book 5 Textbook in Mathematics for Class V>Chapter 11 - Area and its Boundary>Practice time>Q d)

A square carrom board has a perimeter of $320 cm$ . If its area is $k {cm}^{2}$ , find the value of $k$ .

HARD

5th Meghalaya Board

IMPORTANT

MATH-MAGIC Book 5 Textbook in Mathematics for Class V>Chapter 11 - Area and its Boundary>Practice time>Q e)

How many tiles like the triangle given here will fit in the white design?

Question Image