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Measurement, NAP-J4-CA28

A poster has an area of 5250 square centimetres.

What is the area of the poster in square millimetres?

 
 5.25 square millimetres
 
 52.50 square millimetres
 
 52 500 square millimetres
 
 525 000 square millimetres
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`text(525 000 square millimetres)`

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`text(Solution 1:)`

`text(One example of the dimensions of a 5250 cm²)`

`text(rectangle is:  525 cm × 10 cm)`

`text(Converting to millimetres:)`

`5250\ text(mm) xx 100\ text(mm) = 525\ 000\ text(square millimetres)`

 

`text(Solution 2:)`

`text(Scale factor of converting cm to mm = 10)`

`text(Scale factor of converting cm² to mm²)\ = 10 xx 10 = 100`

`:. 5250\ text(cm²) xx 100 = 525\ 000\ text(mm²)`

Measurement, NAP-D4-CA31 SA

A rectangle has an area of 1 square metre.

It has a length of 1222 millimetres.

What is its width to the nearest millimetre?

   millimetres
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`818\ text{mm  (nearest mm)}`

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`1222\ text(mm) = 1.222\ text(m)`

`text(S) text(ince the area is 1m)^2,`

`1.222 xx text(Width)` `= 1`
`text(Width)` `= 1/1.222`
  `= 0.8183…`

 

`:.\ text(Width) = 818\ text{mm  (nearest mm)}`

Number, NAP-I4-NC32

Mark and Jim have property sizes as shown in the table below:
  

`text(Property Owner)` `text(Property Size)`
`text(Mark)` `text(1 square kilometre)`
`text(Jim)` `text(5000 square metres)`

  
 What is the ratio of the land area of Mark's property to Jim's property.

`2:1` `5:2` `200:1` `250:1` `4000:1`
 
 
 
 
  
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`200:1`

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`text(1 km²)` `= 1000\ text(m × 1000 m)`
  `= 1\ 000\ 000\ text(m²)`

 

`text(Ratio)` `= 1\ 000\ 000: 5000`
  `= 1000:5`
  `= 200:1`

Measurement, NAP-I4-NC29

Leigh has a picnic blanket with an area of 5 square metres.

What is the area of her picnic blanket in square centimetres?

`25\ text(cm²)` `50\ text(cm²)` `500\ text(cm²)` `50\ 000\ text(cm²)` `250\ 000\ text(cm²)`
 
 
 
 
 
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`50\ 000\ text(cm²)`

Show Worked Solution
`1\ text(m²)` `= 100\ text(cm²) xx 100\ text(cm²)`
  `= 10\ 000\ text(cm²)`
   
`:. 5\ text(m²)` `= 50\ 000\ text(cm²)`