Final answer:
To solve for A in the equation T=ph+2A, isolate A on one side of the equation. Substitute the given values into the equation to find the value of A. Convert the resulting value from inches to feet.
Step-by-step explanation:
To solve for A in the equation T=ph+2A, we first need to isolate A on one side of the equation. We can do this by subtracting ph from both sides: T-ph = 2A. Next, divide both sides of the equation by 2 to solve for A: A = (T-ph)/2. Now we can substitute the given values into the equation to find the value of A. In this case, T = 288 inches^2, p = 1 foot, and h = 0.5 feet.
Substituting these values into the equation A = (T-ph)/2:
A = (288 - (1*0.5))/2 = (288 - 0.5)/2 = 287.5/2 = 143.75 inches^2. To convert this to feet, divide by 12: 143.75/12 = 11.979... feet. Rounding to the nearest hundredth, A is approximately 11.98 feet.