The rectangle below is dilated by a scale factor of 55. Find the perimeter and area of the rectangle below, as well as the perimeter and area of the dilated rectangle. Express your answers as whole numbers, decimals, or fractions in simplest terms (no mixed numbers). Figures are not necessarily drawn to scale.
Length of given square= 4
Width of given square= 2
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.