Measurement, NAPX-I4-NC22 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

685

Question

A plan of Petal's garden is shown below.

Petal wants to irrigate her garden and needs to know the total area.

What is the total area of Petal's garden, in square metres?



Worked Solution
Area = square + triangle
= (6 × 5) + (12×6×3)\bigg( \dfrac{1}{2} \times 6 \times 3 \bigg)
= 30 + 9
= 39 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
A plan of Petal's garden is shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC22.svg 240 indent3 vpad Petal wants to irrigate her garden and needs to know the total area. What is the total area of Petal's garden, in square metres? 
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC22ans.svg 220 indent vpad
||| |-|-| | Area| = square + triangle| ||= (6 × 5) + $\bigg( \dfrac{1}{2} \times 6 \times 3 \bigg)$| ||= 30 + 9| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
39
prefix0
suffix0
m$^2$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer039

m2^2

Variant 1

DifficultyLevel

684

Question

A plan of Regina's backyard is shown below.

Regina wants to lay turf to cover the whole of her backyard and needs to know the total area.

What is the total area of Regina's backyard, in square metres?

Worked Solution
Area = square + triangle
= (10 × 12) + (12×10×8)\bigg( \dfrac{1}{2} \times 10 \times 8 \bigg)
= 120 + 40
= 160 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
A plan of Regina's backyard is shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v1.svg 430 indent3 vpad Regina wants to lay turf to cover the whole of her backyard and needs to know the total area. What is the total area of Regina's backyard, in square metres?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v1_ws.svg 430 indent3 vpad
||| |-|-| | Area| = square + triangle| ||= (10 × 12) + $\bigg( \dfrac{1}{2} \times 10 \times 8 \bigg)$| ||= 120 + 40| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
160
prefix0
suffix0
m$^2$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0160

m2^2

Variant 2

DifficultyLevel

683

Question

A plan of Ulk's Tibetan wall hanging is shown below.

What is the total area of the wall hanging, in square centimetres?

Worked Solution
Area = square + triangle
= (9 × 8) + (12×8×5)\bigg( \dfrac{1}{2} \times 8 \times 5 \bigg)
= 72 + 20
= 92 cm2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
A plan of Ulk's Tibetan wall hanging is shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v3.svg 450 indent vpad What is the total area of the wall hanging, in square centimetres?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v3_ws.svg 480 indent vpad
||| |-|-| | Area| = square + triangle| ||= (9 × 8) + $\bigg( \dfrac{1}{2} \times 8 \times 5 \bigg)$| ||= 72 + 20| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
92
prefix0
suffix0
cm$^2$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer092

cm2^2

Variant 3

DifficultyLevel

689

Question

A plan of a floor tile is shown below.

Po wants to tile his bathroom using these tiles and needs to know the total area of one tile.

What is the total area of Po's floor tile, in square centimetres?

Worked Solution
Area = square + triangle
= (18 × 6) + (12×18×3)\bigg( \dfrac{1}{2} \times 18 \times 3 \bigg)
= 108 + 27
= 135 cm2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
A plan of a floor tile is shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v4.svg 330 indent vpad Po wants to tile his bathroom using these tiles and needs to know the total area of one tile. What is the total area of Po's floor tile, in square centimetres?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v4_ws.svg 350 indent vpad
||| |-|-| | Area| = square + triangle| ||= (18 × 6) + $\bigg( \dfrac{1}{2} \times 18 \times 3 \bigg)$| ||= 108 + 27| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
135
prefix0
suffix0
cm$^2$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0135

cm2^2

Variant 4

DifficultyLevel

682

Question

A plan of a children's playground at a shopping centre is shown below.

The centre wants to lay rubber matting in the playground and needs to know the total area.

What at is the total area of the shopping centre's playground, in square metres?

Worked Solution
Area = square + triangle
= (10 × 7) + (12×10×4)\bigg( \dfrac{1}{2} \times 10 \times 4 \bigg)
= 70 + 20
= 90 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
A plan of a children's playground at a shopping centre is shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v2.svg 400 indent vpad The centre wants to lay rubber matting in the playground and needs to know the total area. What at is the total area of the shopping centre's playground, in square metres?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v2_ws.svg 400 indent3 vpad
||| |-|-| | Area| = square + triangle| ||= (10 × 7) + $\bigg( \dfrac{1}{2} \times 10 \times 4 \bigg)$| ||= 70 + 20| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
90
prefix0
suffix0
m$^2$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer090

m2^2

Variant 5

DifficultyLevel

681

Question

A plan of a first place pennant is shown below.

Jax wants to make these pennants for the local pony club and needs to know the total area.

What is the total area of the first place pennant, in square centimetres?

Worked Solution
Area = square + triangle
= (5 × 20) + (12×5×7)\bigg( \dfrac{1}{2} \times 5 \times 7 \bigg)
= 100 + 17.5
= 117.5 cm2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
A plan of a first place pennant is shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v5.svg 600 indent vpad Jax wants to make these pennants for the local pony club and needs to know the total area. What is the total area of the first place pennant, in square centimetres?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v5_ws_1.svg 600 indent vpad
||| |-|-| | Area| = square + triangle| ||= (5 × 20) + $\bigg( \dfrac{1}{2} \times 5 \times 7 \bigg)$| ||= 100 + 17.5| ||= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
117.5
prefix0
suffix0
cm$^2$

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0117.5

cm2^2

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