Question

An area of 49 sq cm on a map represents an area of 16 m2 on a field. Draw a scale long enough to measure 8 m. Mark a distance of 6m 9dm on the scale.

Answer 1

To mark a distance of 6m 9dm on the scale, you would need to mark a distance of 6.9*10^1 cm

The scale on the map is 49 sq cm : 16 m^2, meaning that every 49 sq cm on the map represents an area of 16 m^2 on the field.

To convert this to a linear scale, we can take the square root of both sides:

$\sqrt(49 sq cm) : \sqrt(16 m^2)$

This gives us a linear scale of 7 cm : 4 m.

To measure 8 m on this scale, you would need to mark a distance of 7 cm (8 m x (7 cm/4 m)) on the scale.

To mark a distance of 6m 9dm on the scale, you would need to mark a distance of 6.9*10^1 cm

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