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miskamm [114]
3 years ago
6

Hello can you help me please! ​

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

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.

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