smc-3188-30-Grids and Scale

Geometry, NAP-E3-NC30 SA

The design below is created using squares and equilateral triangles only.

What is the length of the design?

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`49 1/2`

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`text(Let)\ x = text(length of side of square)`

`2x`	`= 18`
`:. x`	`= 9\ text(cm)`

`text(Equilateral triangle must have)`

`text(side length = 9 cm)`

`:.\ text(Length)`	`= 5 1/2 xx 9`
	`= 49 1/2\ text(cm)`

Geometry, NAP-E4-CA28 SA

Gabby put 5 points on a grid and labelled them `A` to `E`, as shown on the diagram below.

Point `A` is 35 millimetres from point `D.`

Gabby adds a sixth point, `F` so that the arrangement of points has one line of symmetry.

How far is point `F` from point `B?`

millimetres

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`42\ text(mm)`

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`A\ text(to)\ D\ text(is 35 mm)`

`=> 1\ text(grid is 7 mm × 7 mm)`

`text(Point)\ F\ text(is added below,)`

`:.\ text(Distance)\ B\ text(to)\ F`

`= 6 xx 7`

`= 42\ text(mm)`

Geometry, NAP-F4-CA25 SA

Towns `A, B and C` are marked on the scale diagram below.

The distance from Town `A` to Town `B` is 9 km.

What is the distance from Town `B` to Town `C?`

kilometres

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`3.6\ text(km)`

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`text(Let)\ \ d = text(distance of Town)\ B\ text(to Town)\ \ C`

`text(S)text(ince the diagram is to scale,)`

`d/9`	`= 2/5`
`:. d`	`= (9 xx 2)/5`
	`= 3.6\ text(km)`

Geometry, NAP-H4-CA21 SA

Jana drew a diagram of her tennis racquet.

The actual length of her racquet is 60 centimetres.

What is the actual width of her racquet head?

centimetres

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`26\ text(cm)`

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`text(Racquet is 30 grid intervals long.)`

`text(30 intervals)`	`= 60\ text(cm)`
`:. 1\ text(grid interval)`	`= 2\ text(cm)`

`text(Racquet head is 13 grid intervals high,)`

`:.\ text(Head width)`	`= 13 xx 2`
	`= 26\ text(cm)`