This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
b.i) Step 1: Identify the dimensions of the rectangle. Length (l) = 0.003 m Width (w) = 0.0024 m Step 2: Calculate the perimeter. The formula for the perimeter of a rectangle is P = 2(l + w). P = 2(0.003 m + 0.0024 m) P = 2(0.0054 m) P = 0.0108 m Step 3: Express the perimeter in standard form. Standard form is a × 10^n, where 1 |a| < 10. To move the decimal point two places to the right to get 1.08, the exponent will be -2. P = 1.08 × 10^-2 m The perimeter in standard form is 1.08 × 10^-2 m. b.ii) Step 1: Calculate the area. The formula for the area of a rectangle is A = l × w. A = 0.003 m × 0.0024 m Step 2: Convert the dimensions to standard form for multiplication. 0.003 = 3 × 10^-3 0.0024 = 2.4 × 10^-3 Step 3: Multiply the numbers in standard form. A = (3 × 10^-3) × (2.4 × 10^-3) A = (3 × 2.4) × (10^-3 × 10^-3) A = 7.2 × 10^(-3-3) A = 7.2 × 10^-6 m^2 The area in standard form is 7.2 × 10^-6 m^2.