Question

The rectangle below is dilated by a scale factor of 4. 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 8 and 11. 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 8 and 11:

- Perimeter (original) = 2(8 + 11) = 38 units
- Area (original) = 8 × 11 = 88 units^2

After dilation by scale factor 4 the side lengths are 32 and 44:

- Perimeter (dilated) = 2(32 + 44) = 152 units (or 4 × 38)
- Area (dilated) = 32 × 44 = 1,408 units^2 (or 16 × 88)