Question

The rectangle below is dilated by a scale factor of 2. 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. The small squares numbers are 3 and 2. Perimeter of given rectangle _ units. Perimeter of dilated rectangle _ units. Area of given rectangle _ units^2. Area of dilated rectangle _ units^2.

Answer 1

If the rectangle's side lengths are 3 and 2:

- Perimeter (original) = 2(3 + 2) = 10 units
- Area (original) = 3 × 2 = 6 units^2

Under dilation by scale factor 2 the side lengths become 6 and 4:

- Perimeter (dilated) = 2(6 + 4) = 20 units
- Area (dilated) = 6 × 4 = 24 units^2