Measurement, NAPX-p169879v02 SA

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

671

Question

Timothy sketched a plot of land with the following measurements in metres.

What is the area of the land in square metres?

Worked Solution

Divide the shape into 3 parts:
Total Area = Area 1 + Area 2 + Area 3
= (15 × 12) + (23 × 10) + (12×11×14)\bigg( \dfrac{1}{2} \times 11 \times 14 \bigg)
= 180 + 230 + 77
= 487 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Timothy sketched a plot of land with the following measurements in metres. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/46.svg 240 indent vpad What is the area of the land in square metres?
workedSolution
Divide the shape into 3 parts: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/46s.svg 300 indent vpad
||| |-|-| |Total Area|= Area 1 + Area 2 + Area 3| ||= (15 × 12) + (23 × 10) + $\bigg( \dfrac{1}{2} \times 11 \times 14 \bigg)$| ||= 180 + 230 + 77| ||= 487 m$^2$|
correctAnswer0
487
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
correctAnswer0487

m2^2

Variant 1

DifficultyLevel

671

Question

Hana sketches a shape with the following measurements in centimetres.

What is the area of the shape sketched by Hana?

Worked Solution

Divide the shape into 2 parts:
Total Area = Area of triangle + Area of rectangle
= (12×4×9)+(8×9)\bigg( \dfrac{1}{2} \times 4 \times 9 \bigg) + (8 \times 9)
= 18 + 72
= 90 m2^2

Question Type

Answer Box

Variables

Variable nameVariable value
question
Hana sketches a shape with the following measurements in centimetres. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/45.svg 260 indent vpad What is the area of the shape sketched by Hana?
workedSolution
Divide the shape into 2 parts: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/45s.svg 260 indent vpad
||| |-|-| |Total Area|= Area of triangle + Area of rectangle| ||= $\bigg( \dfrac{1}{2} \times 4 \times 9 \bigg) + (8 \times 9)$| ||= 18 + 72| ||= 90 m$^2$|
correctAnswer0
90
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
correctAnswer090

cm2^2

Tags

  • staging_suejones