Question

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

Answer 1

Answer:

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

Step-by-step 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)