Question

the dimensions of a rectangular dining room are 18 feet by 16 feet long if a scale factor 1/4 is used to make a scale model of the dining room what is the area of the dining room in the scale model.​

Answer 1

Given dimensions of a rectangular dining table:

• width = 18 ft
• length = 16 ft

If a scale factor of
`\frac14` is used, then we need to multiply each measurement by
`\frac14`:

`\implies \textsf{width}=18 * \frac14`

`=4.5 \textsf{ units}`

`\implies \textsf{length}=16 * \frac14`

`=4 \textsf{ units}`

Therefore, the scale model of the dining room will be 4.5 by 4 units.

Answer 2

calculate the sides of the rectangle in scale factor model

Length: 18 * 1/4 = 4.5 feet

Width: 16 * 1/4 = 4 feet

Rectangle area in scale factor model:

Length * Width

4.5 * 4

18 feet²