Question

Hello can you help me please!
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Answer 1

Option (3)

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 =
`(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.