30086
Question
The shape below has a perimeter of {{perimeter}} cm.
{{image1}}
What is the value of d?
Worked Solution
Perimeter = {{perimeter}} cm
Equal side length
|
|
|
= {{length1}} − {{length2}} |
|
= {{total1}} cm |
|
|
| ∴d |
= {{length3}} − {{total1}} |
|
= {{{correctAnswer}}} |
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
Variant 0
DifficultyLevel
565
Question
The shape below has a perimeter of 96 cm.
What is the value of d?
Worked Solution
Perimeter = 96 cm
Equal side length
|
|
| ∴d |
= 18 − 8 |
|
= 10 cm |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| perimeter | |
| image1 | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/car1q22.svg 410 indent3 vpad |
| length1 | |
| length2 | |
| total1 | |
| length3 | |
| correctAnswer | |
Answers
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
Variant 1
DifficultyLevel
566
Question
The shape below has a perimeter of 114 cm.
What is the value of d?
Worked Solution
Perimeter = 114 cm
Equal side length
|
|
| ∴d |
= 22 − 7 |
|
= 15 cm |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| perimeter | |
| image1 | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/varr2q22.svg 480 indent3 vpad |
| length1 | |
| length2 | |
| total1 | |
| length3 | |
| correctAnswer | |
Answers
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
Variant 2
DifficultyLevel
565
Question
The shape below has a perimeter of 100 cm.
What is the value of d?
Worked Solution
Perimeter = 100 cm
Equal side length
|
|
| ∴d |
= 24 − 18 |
|
= 6 cm |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| perimeter | |
| image1 | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var3q22.svg 450 indent3 vpad |
| length1 | |
| length2 | |
| total1 | |
| length3 | |
| correctAnswer | |
Answers
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
Variant 3
DifficultyLevel
569
Question
The shape below has a perimeter of 132 cm.
What is the value of d?
Worked Solution
Perimeter = 132 cm
Equal side length
|
|
| ∴d |
= 24 − 13 |
|
= 11 cm |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| perimeter | |
| image1 | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var4q22.svg 570 indent3 vpad |
| length1 | |
| length2 | |
| total1 | |
| length3 | |
| correctAnswer | |
Answers
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
Variant 4
DifficultyLevel
568
Question
The shape below has a perimeter of 82 cm.
What is the value of d?
Worked Solution
Perimeter = 82 cm
Equal side length
|
|
| ∴d |
= 23 − 11 |
|
= 12 cm |
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| perimeter | |
| image1 | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var5q22.svg 420 indent3 vpad |
| length1 | |
| length2 | |
| total1 | |
| length3 | |
| correctAnswer | |
Answers