Answer:
[tex]\boxed{\text{22.5 ft}^{2}}[/tex]
Step-by-step explanation:
Existing walkway
l = 10 ft
w = 4 ft
A₁ = lw = 10 ft × 4 ft = 40 ft²
New walkway
Expanding a measurement by 25 % means that you multiply it by a factor of 1.25.
New length = 10 × 1.25 = 12.5 ft
New width = 4 × 1.25 = 5 ft
A₂ = lw = 12.5 ft × 5 ft = 62.5 ft²
Increase in area
A₂ - A₁ = 62.5 – 40 = 22.5 ft²
The increase in area is [tex]\boxed{\textbf{22.5 ft}^{2}}[/tex]
