The area of the patio is x^2 square feet because it is a square with side length x.
The area of the walkway is (x+5)(x+5) - x^2 square feet because it is the difference between the outer square and the inner square. Simplifying this expression, we get 25 + 10x square feet.
Therefore, the total area of the patio and the walkway is x^2 + (25 + 10x) square feet.
Combining like terms, the total area is x^2 + 10x + 25 square feet.
Therefore, the answer is D. (x^2 + 10x + 25) sq.ft.
A square patio is surrounded by a brick walkway. What is the total area of the patio AND the walkway?
Dimensions on each side of the square: 5ft
The bottom of the square: x ft
The right side of the square: x ft
A. (x^2 + 20x + 100) sq.ft
B. (x^2 + 15x + 50) sq.ft
C. (x^2 + 25x + 125) sq.ft
D. (x^2 + 10x + 25) sq.ft
1 answer
6 answers