Answer:
The perimeter of the given parallelogram increases to four times the current value
Step-by-step 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
