Question

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Answer 1

Answer:

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Answer 2

In part 1 of the question, we will be using the two formulae related to a rectangle:

→ $\sf{Area=length\times\:breadth}$

→ $\sf{Perimeter=2(length+breadth)}$

1) Find the area and perimeter of the rectangles of following dimensions:

a) Length = 12 cm and breadth = 5 cm

Area of a rectangle = length x breadth

Area of the given rectangle = 12 x 5

• Area = 60 cm²

Perimeter of a rectangle = 2 (length + breadth)

Perimeter of given rectangle = 2 (12 + 5)

Perimeter of given rectangle = 2 x 17

• Perimeter = 34 cm

b) Length = 9 cm and breadth = 4 cm

Area of a rectangle = length x breadth

Area of the given rectangle = 9 x 4

• Area = 36 cm²

Perimeter of a rectangle = 2 (length + breadth)

Perimeter of the given rectangle = 2 (9 + 4)

Perimeter of the given rectangle = 2 x 13

• Perimeter = 26 cm

c) Length = 4 cm and breadth = 2 cm

Area of the given rectangle = 4 x 2

• Area = 8 cm²

Perimeter of the given rectangle = 2 (4 + 2)

Perimeter of the given rectangle = 2 x 6

• Perimeter = 12 cm

d) Length = 19 cm and breadth = 15 cm

Area of the given rectangle = 19 x 15

• Area = 285 cm²

Perimeter of the given rectangle = 2 (19 + 15)

Perimeter of the given rectangle = 2 x 34

• Perimeter = 68 cm

e) Length = 29 cm and breadth = 6 cm

Area of the given rectangle = 29 x 6

• Area = 174 cm²

Perimeter of the given rectangle = 2 (29 + 6)

Perimeter of the given rectangle = 2 x 35

• Perimeter = 70 cm

FINAL ANSWERS:

a) Area = 60 cm² and perimeter = 34 cm

b) Area = 36 cm² and perimeter = 26 cm

c) Area = 8 cm² and perimeter = 12 cm

d) Area = 285 cm² and perimeter = 68 cm

e) Area = 174 cm² and perimeter = 70 cm

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In part 2 of the question, we will be using the formulae related to a square.

→ $\sf{Area=a^2}$

→ $\sf{Perimeter=4a}$

2) Find the area and perimeter of the following squares:

a) Side = 6 cm

Area of a square = a²

Area of the given square = 6²

• Area = 36 cm²

Perimeter of a square = 4a

Perimeter of given square = 4 x 6

• Perimeter = 24 cm

b) Side = 4 cm

Area of a square = a²

Area of the given square = 4²

• Area = 16 cm²

Perimeter of a square = 4a

Perimeter of given square = 4 x 16

• Perimeter = 64 cm

c) Side = 28 cm

Area of given square = 28²

• Area = 784 cm²

Perimeter of given square = 4 x 28

• Perimeter = 112 cm

d) Side = 17 cm

Area of given square = 17²

• Area = 289 cm²

Perimeter of given square = 4 x 17

• Perimeter = 68 cm

e) Side = 101 cm

Area of given square = 101²

• Area = 10201 cm²

Perimeter of given square = 4 x 101

• Perimeter = 404 cm

FINAL ANSWERS:

a) Area = 36 cm² and perimeter = 24 cm

b) Area = 16 cm² and perimeter = 64 cm

c) Area = 784 cm² and perimeter = 112 cm

d) Area = 289 cm² and perimeter = 68 cm

e) Area = 10201 cm² and perimeter = 404 cm