. Find the perimeter and area of the square below, as well as the perimeter and area of the dilated square. Express your answers as whole numbers, decimals, or fractions in simplest terms (no mixed numbers). Figures are not necessarily drawn to scale.

Answer 1

The square has a side length of 4 units.

Perimeter of the square = 4 x 4 = 16 units
Area of the square = 4 x 4 = 16 square units

Let's dilate the square by a scale factor of 2.

The new side length of the dilated square will be 4 x 2 = 8 units.

Perimeter of the dilated square = 8 x 4 = 32 units
Area of the dilated square = 8 x 8 = 64 square units

So, the perimeter of the dilated square is 32 units and the area is 64 square units.