Text Book Back Exercises Questions with Answers, Solution : 5th Maths : Term 3 Unit 1 : Geometry : Exercise 1.2 (Area of the rectangle and square)

**Exercise 1.2**

**1. The length of the
side of each square is given below. Find its area.**

**(i) 10 metres **

**(ii) 5 cm **

**(iii) 15 metres **

**(iv) 16 cm**

__(i) 10
metres __

Side = 10m

Area of the square = a^{2}

= 10^{2}

**=100sq.m**

__(ii) 5 cm
__

Side = 5cm

Area of the square = a^{2}

= 5^{2}

**= 25
sq.cm**

__(iii) 15
metres __

Side = 15cm

Area of the square = a^{2}

= 15^{2}

**= 225sq.m**

__(iv) 16
cm__

Side = 16cm

Area of the square = a^{2}

= 16^{2}

**=256sq.cm**

**2. Find the area of the
following rectangles.**

**(i) length = 6 cm and
breadth = 3 cm**

Area = 1 × b

= 6×3

**= 18
sq.cm**

**(ii) length = 7 m and
breadth = 4 m**

Area = 1 × b

= 7 × 4

**= 28
sq.cm**

**(iii) length = 8 cm and
breadth = 5 cm**

Area = 1 × b

= 8×5

**= 40
sq.cm**

**(iv) length = 9 m and
breadth = 6 m**

Area = 1 × b

= 9 × 6

**= 54
sq.cm**

**3. If the cost of 1
sq.m of a plot is ₹ 800, then find the total cost of the plot that is 15 m long
and 10 m breadth**.

Length of the plot = 15m

Breadth of the plot = 10m

Area of the plot = 1 × b

= 15×10 =150sq.m

Cost of 1 sq.m = ₹ 800

Cost of 150 sq.m = 800 × 150 = 1,20,000

**Answer :
Cost of 150sq.m of a plot = ₹*** ***1,20,000**

** **

**4. The side of a square
is 6 cm. The length of a rectangle is 10 cm and its breadth is 4 cm. Find the
perimeter and area of both the square and rectangle.**

**Step :1**

Side of a square = 6cm

Area of a square = a^{2}

= 6^{2 }= 36 sq.cm

Perimeter of a square = 4a

= 4 × 6 = 24cm

**Step:2**

length of a rectangle = 10cm

Breadth of a rectangle = 4cm

Area of a rectangle = 1 × b

= 10 × 4 = 40 sq.cm

Perimeter of rectangle = (2 ×1) + (2 × b)

= (2 × 10) + (2 × 4)

= 20 + 8 = 28cm

**Answer:**

**Area of
the square = 36 sq.cm **

**Perimeter
of a square = 24cm **

**Area of a
rectangle = 40sq.cm**

**Perimeter
of a rectangle = 28cm**

** **

**5. What will be the
labour cost of laying the floor of an assembly hall which is 14 m long and 10 m
breadth if the cost of laying is ₹ 60 per sq.m?**

Length of the assembly hall = 14m

Breadth of an assembly hall = 10m

Area of a rectangle hall = 1 × b

= 14 × 10 = 140 sq.m

Cost of laying floor for 1sq.m = ₹ 60’

Cost of laying floor for 140 sq.m = 140 × 60 =8400

**Answer: Cost
of laying floor for 140 sq.m = ₹ 8400**

** **

__Answer:__

__Exercise 1.2__

**1. (i) 100 sq.m (ii) 2.5 sq.m (iii) 40 sq.cm
(iv) 54 sq.m **

**2. (i) 18 sq.cm (ii) 28 sq.m (iii) 40 sq.cm (iv)
54 sq.m **

**3. 1,20,000 **

**4. 24cm; 36 sq.cm; 28cm; 140 sq.cm **

**5. 8,400 **

** **

**Activity 2**

Using the grid sheet find the area and perimeter of the
rectangles and squares. Each square is 1 sq. cm.

**a) Area
of square = a ^{2}**

a^{2} = 4

a = 2

Perimeter = 4a

= 4 × 2

= 8 units

**b) Area
of square = a ^{2}**

a^{2} = 9

a = 3

Perimeter = 4a

= 4 × 3

= 12 units

**c) Area
of square = 1 × b ^{}**

= 5 × 2

= 10sq.cm

Perimeter = 2 ( 1+b)

= 2 (5 +2)

= 14 units

**d) Area
of rectangle = 1 × b**

= 5 × 3

= 15sq.cm

Perimeter =2(* l *+b )

= 2 (5 +3)

=16 units

Tags : Geometry | Term 3 Chapter 1 | 5th Maths , 5th Maths : Term 3 Unit 1 : Geometry

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5th Maths : Term 3 Unit 1 : Geometry : Exercise 1.2 (Area of the rectangle and square) | Geometry | Term 3 Chapter 1 | 5th Maths

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