To correct your solution:
A. To represent the total area of the house and walk, you correctly use the expression (2x + 60)(2x + 45). However, you made an error in expanding it.
Expanding (2x + 60)(2x + 45), you should multiply each term in the first parentheses by each term in the second parentheses:
(2x + 60)(2x + 45) = 2x * (2x + 45) + 60 * (2x + 45)
= 2x * 2x + 2x * 45 + 60 * 2x + 60 * 45
= 4x^2 + 90x + 120x + 2700
= 4x^2 + 210x + 2700
So the corrected polynomial representation of the total area of the house and walk is 4x^2 + 210x + 2700.
B. To find the combined area of the house and walk, you need to replace "X" with the width of the walk, which is correctly given as 10. However, you made an error in the calculation.
Calculating the area with X = 10:
Area = 4(10)^2 + 210(10) + 2700
= 4(100) + 2100 + 2700
= 400 + 2100 + 2700
= 5200 sq ft
So the corrected combined area of the house and walk is 5200 sq ft.