Question

A rectangular brick walkway has a length of ten feet and a width of four feet.The length and the width of the walkway will each be expanded by 25%.What will be the increase in the area,in square feet,of the walkway

Answer 1

`\boxed{\text{22.5 ft}^(2)}`

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
`\boxed{\textbf{22.5 ft}^(2)}`