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.

Question

2
4

Perimeter of given rectangle
Perimeter of dilated rectangle ?
Area of given rectangle ?
Area of dilated rectangle ?

Answer 1

Given rectangle:
Length = 4 units
Width = 2 units

Perimeter of given rectangle:
P = 2(4) + 2(2) = 8 + 4 = 12 units

Area of given rectangle:
A = 4 * 2 = 8 square units

Dilated rectangle:
Length = 4 * 5 = 20 units
Width = 2 * 5 = 10 units

Perimeter of dilated rectangle:
P' = 2(20) + 2(10) = 40 + 20 = 60 units

Area of dilated rectangle:
A' = 20 * 10 = 200 square units

Therefore, the perimeter of the dilated rectangle is 60 units and the area of the dilated rectangle is 200 square units.