Answer:
Perimeter of the dilated rectangle = 23.2 m
Step-by-step explanation:
If a point is dilated by a scale factor = k
Coordinates of the image point after dilation will follow the rule,
(x, y) → (kx, ky)
From the given rule,
(x, y) → (0.4x, 0.4y)
Which reveals that the figure has been dilated by a scale factor = 0.4
Length of the rectangle = 12 m
Width of the rectangle = 17 m
If the given rectangle is dilated by a scale factor of 0.4,
Length of the image rectangle = 12 × 0.4 = 4.8 m
Width of the image rectangle = 17 × 0.4 = 6.8 m
Perimeter of a rectangle = 2(length + width)
Therefore, perimeter of the image rectangle = 2(4.8 + 6.8)
= 23.2 m
