20295

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

542

Question

Adam is laying tiles that are shaped like a parallelogram.



The longer sides are 2.5 times the length of the shorter sides.

What is the perimeter of one of the tiles?

Worked Solution
Perimeter = 12 ×\times 2 + (12 ×\times 2.5) ×\times 2
= 24 + 30 ×\times 2
= 24 + 60
= 84 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Adam is laying tiles that are shaped like a parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-K4-CA10.svg 218 indent3 vpad
The longer sides are 2.5 times the length of the shorter sides. What is the perimeter of one of the tiles?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Perimeter | = 12 $\times$ 2 + (12 $\times$ 2.5) $\times$ 2 | | | = 24 + 30 $\times$ 2 | | | = 24 + 60 | | | = {{{correctAnswer}}} |
correctAnswer
84 cm

Answers

Is Correct?Answer
x

42 cm

✓

84 cm

x

96 cm

x

360 cm

Variant 1

DifficultyLevel

541

Question

Fumiko is laying pavers that are shaped like a parallelogram.



The longer sides are 3.5 times the length of the shorter sides.

What is the perimeter of one of the pavers?

Worked Solution
Perimeter = 8 ×\times 2 + (8 ×\times 3.5) ×\times 2
= 16 + 28 ×\times 2
= 16 + 56
= 72 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Fumiko is laying pavers that are shaped like a parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20295_v1.svg 240 indent3 vpad
The longer sides are 3.5 times the length of the shorter sides. What is the perimeter of one of the pavers?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Perimeter | = 8 $\times$ 2 + (8 $\times$ 3.5) $\times$ 2 | | | = 16 + 28 $\times$ 2 | | | = 16 + 56 | | | = {{{correctAnswer}}} |
correctAnswer
72 cm

Answers

Is Correct?Answer
✓

72 cm

x

112 cm

x

144 cm

x

224 cm

Variant 2

DifficultyLevel

543

Question

Arima is laying tiles that are shaped like a parallelogram.



The longer sides are 4.25 times the length of the shorter sides.

What is the perimeter of one of the tiles?

Worked Solution
Perimeter = 4 ×\times 2 + (4 ×\times 4.25) ×\times 2
= 8 + 17 ×\times 2
= 8 + 34
= 42 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Arima is laying tiles that are shaped like a parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20295_v2.svg 350 indent3 vpad
The longer sides are 4.25 times the length of the shorter sides. What is the perimeter of one of the tiles?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Perimeter | = 4 $\times$ 2 + (4 $\times$ 4.25) $\times$ 2 | | | = 8 + 17 $\times$ 2 | | | = 8 + 34 | | | = {{{correctAnswer}}} |
correctAnswer
42 cm

Answers

Is Correct?Answer
x

21 cm

x

34 cm

✓

42 cm

x

68 cm

Variant 3

DifficultyLevel

538

Question

Bjork is laying ice bricks that are shaped like a parallelogram.



The shorter sides are half the length of the longer sides.

What is the perimeter of one of the bricks?

Worked Solution
Perimeter = (12×26)×\bigg( \dfrac{1}{2} \times 26 \bigg)\times 2 + 26 ×\times 2
= 13 ×\times 2 + 52
= 26 + 52
= 78 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bjork is laying ice bricks that are shaped like a parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20295_v3.svg 260 indent3 vpad
The shorter sides are half the length of the longer sides. What is the perimeter of one of the bricks?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Perimeter | = $\bigg( \dfrac{1}{2} \times 26 \bigg)\times$ 2 + 26 $\times$ 2 | | | = 13 $\times$ 2 + 52| | | = 26 + 52| | | = {{{correctAnswer}}} |
correctAnswer
78 cm

Answers

Is Correct?Answer
x

39 cm

x

65 cm

✓

78 cm

x

130 cm

Variant 4

DifficultyLevel

542

Question

Vladimir is cutting a piece of coloured glass into the shape of a parallelogram to use in a leadlight window.



The shorter sides are one-third the length of the longer sides.

What is the perimeter of the piece of coloured glass?

Worked Solution
Perimeter = (13×36)×\bigg( \dfrac{1}{3} \times 36 \bigg)\times 2 + 36 ×\times 2
= 12 ×\times 2 + 72
= 24 + 72
= 96 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Vladimir is cutting a piece of coloured glass into the shape of a parallelogram to use in a leadlight window.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20295_v4.svg 300 indent3 vpad
The shorter sides are one-third the length of the longer sides. What is the perimeter of the piece of coloured glass?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Perimeter | = $\bigg( \dfrac{1}{3} \times 36 \bigg)\times$ 2 + 36 $\times$ 2 | | | = 12 $\times$ 2 + 72| | | = 24 + 72| | | = {{{correctAnswer}}} |
correctAnswer
96 cm

Answers

Is Correct?Answer
x

45 cm

x

54 cm

x

90 cm

✓

96 cm

Variant 5

DifficultyLevel

540

Question

Tatiana is cutting a piece of material in the shape of a parallelogram for a sewing project.



The longer sides are one and two-thirds the length of the shorter sides.

What is the perimeter of the piece of material?

Worked Solution
Perimeter = (\bigg( 18 + (23×18))×\bigg( \dfrac{2}{3} \times 18 \bigg)\bigg)\times 2 + 18 ×\times 2
= (18 + 12) ×\times 2 + 36
= 60 + 36
= 96 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Tatiana is cutting a piece of material in the shape of a parallelogram for a sewing project.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20295_v5.svg 300 indent3 vpad
The longer sides are one and two-thirds the length of the shorter sides. What is the perimeter of the piece of material?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Perimeter | = $\bigg($ 18 + $\bigg( \dfrac{2}{3} \times 18 \bigg)\bigg)\times$ 2 + 18 $\times$ 2 | | | = (18 + 12) $\times$ 2 + 36| | | = 60 + 36| | | = {{{correctAnswer}}} |
correctAnswer
96 cm

Answers

Is Correct?Answer
x

48 cm

✓

96 cm

x

72 cm

x

120 cm

Tags

  • ms_ca