20307

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

572

Question

A rectangle has a length of 12 cm and a width of 7 cm.

A square has the same perimeter as this rectangle.

What is the side length of this square in centimetres?

Worked Solution
Perimeter = (2 ×\times 12) + (2 ×\times 7)
= 38 cm

∴\therefore Square side = 38 ÷\div 4
= 9.5 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangle has a length of 12 cm and a width of 7 cm. A square has the same perimeter as this rectangle. What is the side length of this square in centimetres?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Perimeter | \= (2 $\times$ 12) + (2 $\times$ 7) | | | \= 38 cm |

| | | | --------------------- | ------------------------------------------- | | $\therefore$ Square side | \= 38 $\div$ 4 | | | \= {{{correctAnswer}}} cm |
correctAnswer
9.5

Answers

Is Correct?Answer
x

4.75

✓

9.5

x

10.25

x

21

Variant 1

DifficultyLevel

571

Question

A rectangle has a length of 8 cm and a width of 5 cm.

A square has the same perimeter as this rectangle.

What is the side length of this square in centimetres?

Worked Solution
Perimeter = (2 ×\times 8) + (2 ×\times 5)
= 26 cm

∴\therefore Square side = 26 ÷\div 4
= 6.5 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangle has a length of 8 cm and a width of 5 cm. A square has the same perimeter as this rectangle. What is the side length of this square in centimetres?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Perimeter | \= (2 $\times$ 8) + (2 $\times$ 5) | | | \= 26 cm |

| | | | --------------------- | ------------------------------------------- | | $\therefore$ Square side | \= 26 $\div$ 4 | | | \= {{{correctAnswer}}} cm |
correctAnswer
6.5

Answers

Is Correct?Answer
✓

6.5

x

10

x

13

x

40

Variant 2

DifficultyLevel

570

Question

A rectangle has a length of 16 cm and a width of 19 cm.

A square has the same perimeter as this rectangle.

What is the side length of this square in centimetres?

Worked Solution
Perimeter = (2 ×\times 16) + (2 ×\times 19)
= 70 cm

∴\therefore Square side = 70 ÷\div 4
= 17.5 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangle has a length of 16 cm and a width of 19 cm. A square has the same perimeter as this rectangle. What is the side length of this square in centimetres?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Perimeter | \= (2 $\times$ 16) + (2 $\times$ 19) | | | \= 70 cm |

| | | | --------------------- | ------------------------------------------- | | $\therefore$ Square side | \= 70 $\div$ 4 | | | \= {{{correctAnswer}}} cm |
correctAnswer
17.5

Answers

Is Correct?Answer
x

8.75

x

12

✓

17.5

x

76

Variant 3

DifficultyLevel

571

Question

A rectangle has a length of 41 cm and a width of 65 cm.

A square has the same perimeter as this rectangle.

What is the side length of this square in centimetres?

Worked Solution
Perimeter = (2 ×\times 41) + (2 ×\times 65)
= 212 cm

∴\therefore Square side = 212 ÷\div 4
= 53 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangle has a length of 41 cm and a width of 65 cm. A square has the same perimeter as this rectangle. What is the side length of this square in centimetres?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Perimeter | \= (2 $\times$ 41) + (2 $\times$ 65) | | | \= 212 cm |

| | | | --------------------- | ------------------------------------------- | | $\therefore$ Square side | \= 212 $\div$ 4 | | | \= {{{correctAnswer}}} cm |
correctAnswer
53

Answers

Is Correct?Answer
x

13.25

x

26.5

x

48

✓

53

Variant 4

DifficultyLevel

573

Question

A rectangle has a length of 1.1 metres and a width of 65 cm.

A square has the same perimeter as this rectangle.

What is the side length of this square in centimetres?

Worked Solution

Using 1 m = 100 cm
Perimeter = (2 ×\times 110) + (2 ×\times 65)
= 350 cm

∴\therefore Square side = 350 ÷\div 4
= 87.5 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangle has a length of 1.1 metres and a width of 65 cm. A square has the same perimeter as this rectangle. What is the side length of this square in centimetres?
workedSolution
Using 1 m = 100 cm
| | | | --------------------- | ------------------------------------------- | | Perimeter | \= (2 $\times$ 110) + (2 $\times$ 65) | | | \= 350 cm |

| | | | --------------------- | ------------------------------------------- | | $\therefore$ Square side | \= 350 $\div$ 4 | | | \= {{{correctAnswer}}} cm |
correctAnswer
87.5

Answers

Is Correct?Answer
x

35

x

43.75

x

45

✓

87.5

Variant 5

DifficultyLevel

567

Question

A rectangle has a length of 40 cm and a width of 58 cm.

A square has the same perimeter as this rectangle.

What is the side length of this square in centimetres?

Worked Solution
Perimeter = (2 ×\times 40) + (2 ×\times 58)
= 196 cm

∴\therefore Square side = 196 ÷\div 4
= 49 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rectangle has a length of 40 cm and a width of 58 cm. A square has the same perimeter as this rectangle. What is the side length of this square in centimetres?
workedSolution
| | | | --------------------- | ------------------------------------------- | | Perimeter | \= (2 $\times$ 40) + (2 $\times$ 58) | | | \= 196 cm |

| | | | --------------------- | ------------------------------------------- | | $\therefore$ Square side | \= 196 $\div$ 4 | | | \= {{{correctAnswer}}} cm |
correctAnswer
49

Answers

Is Correct?Answer
x

18

x

24.5

✓

49

x

98

Tags

  • ms_ca