Question

A quadrilateral is shown on the graph below. If the dimensions of this

quadrilateral are scaled by a factor of 2, which equation models the
effect this scaling has on the area of the figure.

Answer 1

Area of the image rectangle = 4(Area of the original rectangle)

Explanation:

Length of the rectangle given in the graph = 4 units

Width of the rectangle = 2 units

Area of the rectangle = Length × Width

= 4 × 2

= 8 square units

Since, scale factor =
`\frac{\text{Dimension of the image}}{\text{Dimension of the original}}`

2 =
`\frac{\text{Length of the image}}{\text{Length of the original}}`

Length of the image rectangle = 2(4)

= 8 units

Similarly, width of the image rectangle = 2(2)

= 4 units

Area of the image rectangle = 8 × 4

Area of the image = Area of the original × 4

Area of the image = 4(Area of the original)

Area of the image rectangle = 4(Area of the original rectangle)