\Delta A = A_{\text{original}} - A_{\text{new}} = 25\sqrt{3} - 16\sqrt{3} = 9\sqrt{3} \text{ cm}^2

Mon, 20 Apr 2026 12:04:18 +0000

Understanding Area Change: How ΔA = A₂ – A₁ Calculates Surface Reduction When evaluating changes in area, the equation ΔA = A₂ – A₁ provides a precise way to determine how much space has been lost or gained. This concept is crucial in fields such as architecture, construction, land surveying, and even graphic design—where understanding spatial dimensions impacts planning and accuracy. In a practical example, consider two areas measured in square centimeters:
A₁ = 16√3 cm² (original area)
A₂ = 25√3 cm² (new area)
The change in area is calculated as:
ΔA = A₂ – A₁ = (25√3) – (16√3) = 9√3 cm² This result shows a reduction of 9√3 cm² in surface area. Factoring out the common √3 term simplifies the expression:
ΔA = (25 – 16)√3 = 9√3 cm²