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Given rectangle:
Length = 4
Width = 2
Area of given rectangle = Length × Width = 4 × 2 = 8
Perimeter of given rectangle = 2(Length + Width) = 2(4 + 2) = 2(6) = 12
Dilated rectangle:
Length = 4 × 5 = 20
Width = 2 × 5 = 10
Area of dilated rectangle = Length × Width = 20 × 10 = 200
Perimeter of dilated rectangle = 2(Length + Width) = 2(20 + 10) = 2(30) = 60
Therefore, the area of the given rectangle is 8 and the perimeter is 12. The area of the dilated rectangle is 200 and the perimeter is 60.