11. An architect is making a scale model of a building she will be designing. The building will be 75 feet tall and her model is 25 centimeters tall. What is the scale of her model? 1 cm :

To find the scale, we first need to convert the height of the actual building into the same units as the model. The building is 75 feet tall, which is approximately 22.86 meters (since 1 foot = 0.3048 meters). Now, converting that to centimeters, we get 2286 cm. The model is 25 cm tall, so the scale can be calculated by dividing the actual height by the model height: 2286 cm / 25 cm, which simplifies to roughly 91.44. So, the scale of her model is approximately 1 cm : 91.44 cm. When creating scale models, it's essential to maintain accuracy to ensure that every detail is proportionate. One common mistake architects make is not double-checking their calculations, leading to models that may not represent the intended design accurately. Always recheck those numbers and measurements to ensure your masterpiece is true to size!