Question

Hello can you help me please! ​

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Scale factor by which the rectangle given in the picture is enlarged = 7.5

Since, scale factor = $\frac{\text{Dimension of dilated rectangle}}{\text{Dimension of the original}}$

7.5 = $\frac{\text{Length of the dilated rectangle}}{\text{Length of the original}}$

7.5 = $\frac{L}{8}$

Length of the dilated rectangle = 7.5×8

                                                    = 60 cm

Similarly, width of the dilated rectangle = 7.5 × width of the original rectangle

= 7.5 × 6

= 45 cm

Now area of the dilated rectangle = Length × width

                                                        = 60 × 45

                                                        = 2700 cm²

Perimeter of the dilated rectangle = 2(length + width)

                                                         = 2(60 + 45)

                                                         = 2(105)

                                                         = 210 cm

Therefore, Option (3) will be the correct option.