A provincial flag measures 92 cm tall by 185 cm wide. If a replica pin is produced to scale, with a height of 1.5 cm, how wide would is it?
3.62 cm
3.02 cm
2.42 cm
181 cm
To find the width of the replica pin, we need to set up a proportion:
Width of flag / Height of flag = Width of pin / Height of pin
The width of the flag is given as 185 cm, the height of the flag is given as 92 cm, and the height of the replica pin is given as 1.5 cm. We are asked to find the width of the replica pin.
185 cm / 92 cm = Width of pin / 1.5 cm
Cross-multiplying:
185 cm * 1.5 cm = 92 cm * Width of pin
277.5 cm^2 = 92 cm * Width of pin
Dividing both sides by 92 cm:
277.5 cm^2 / 92 cm = Width of pin
3.02 cm ≈ Width of pin
Therefore, the width of the replica pin is approximately 3.02 cm.