smc-671-70-Area with unit conversion

Measurement, NAP-J4-CA28

A poster has an area of 5250 square centimetres.

What is the area of the poster in 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)`

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,`

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

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

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)`

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)`

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