1) an architect built a model of a 220ft tall building . The model is 25inches tall and 10inches wide. How wide is the actual building , I know the answer is 88 but how do u get it.
since the same scale applies to both height and width,
220/25 = x/10
To find the width of the actual building, we can use the concept of ratios and proportions.
First, let's find the scale factor by comparing the height of the model to the height of the actual building.
The model is 25 inches tall, and the actual building is 220 feet tall. Since both measurements need to be in the same unit, let's convert 220 feet to inches.
1 foot = 12 inches
So, 220 feet = 220 * 12 = 2,640 inches.
Now, let's set up a proportion to find the scale factor:
(model height) / (actual building height) = (model width) / (actual building width)
25 / 2,640 = 10 / (actual building width)
Next, let's cross-multiply and solve for the actual building width:
25 * (actual building width) = 2,640 * 10
250 * (actual building width) = 26,400
Divide both sides of the equation by 250:
(actual building width) = 26,400 / 250
(actual building width) = 105.6 inches
Therefore, the width of the actual building is 105.6 inches, not 88.