Given Information: - Rate of height = 2 cm/min - Rate of area = 12 cm^2/min - Initial height = 4 cm - Initial area = 12 cm^2 Calculation: - Find Initial base using initial height and area: Since A = 1/2 * b * h; Therefore, 12 = 1/2 * b * 4 Solve for b: 12 = 2b; Therefore, b = 6 - Find rate of base: after 1 minute: height increased 2 cm, area increased 12 cm^2 which is: height = 6, area = 24 <-- (using these, find base) 24 = 1/2 * b * 6; 24 = 3b; <u>b = 8</u> (after 1 min) Therefore, since base changed from 6 to 8 the rate is <u>2 cm/min</u>