Question

Sam wants to make a sketch of the white house with a scale factor of 2 inches to 15 feet. She knows that the white house is about 85 feet wide and 152 feet long. What will the width and height of her model be?

Answer 1

Answer: The width of the model = 11.33 inches and the height of the model = 20.27 inches.

Explanation:

Given: Scale factor: 2 inches in model = 15 feet in actual.

White house is about 85 feet wide and 152 feet long.

Width of model =
`\frac2{15}*85=(34)/(3)=11.33\text{ inches}`

Height of model =
`(2)/(15)*152\approx20.27\text{ inches}`

Hence, the width of the model = 11.33 inches and the height of the model = 20.27 inches.