Question

Using the information from the problem tell: Perimeter or Area of Old (Original) Figure Perimeter or Area of New Figure Make a statement about the change in Area or Perimeter Please numbers your answer 1 to 3, so I know what question you are answering

Answer 1

The perimeter of the given parallelogram increases to four times the current value

Explanation:

The given dimensions of the parallelogram are 8 cm by 10 cm

Therefore, the perimeter of the given parallelogram, 'P₁', is found as follows;

P₁ = 2 × 8 cm + 2 × 10 cm = 16 cm + 20 cm = 36 cm

The perimeter of the given parallelogram, P₁ = 36 cm

When each side of the parallelogram are multiplied by 4, we get;

The new sides of the parallelogram = 4 × 8 cm = 32 cm and 4 × 10 cn = 40 cm

The new perimeter of the parallelogram, P₂ = 2 ×32 cm + 2 × 40 cm = 144 cm

Therefore, the perimeter, P₂ is P₂/P₁ times larger than the perimeter P₁

P₂ = (144 cm)/(36 cm) × P₁

∴ P₂ = 4 × P₁

The change in the perimeter after multiplying each side of the given parallelogram by 4 is that the perimeter of the given parallelogram increases to four times the current value