Question

O A. lw= (x - 5)(x - 5); 49 square feet

O B. /w = x(x - 5); 84 square feet
O c. /w = (x + 5)(x + 5); 289 square feet
D. lw= (x + 5)(x - 5); 119 square feet

Answer 1

D.
`lw = (x + 5)(x - 5) ; 119 ft^2`

Explanation:

Dimensions of the old square brick patio:

`length (l) = x ft`

`width (l) = x ft`

Note: a square has equal side measure

Dimensions of the new patio

`length (l) = (x + 5) ft` ==> she increased length by 5 ft

`width (l) = (x - 5) ft` she reduced width by 5 ft

Expression of the length and width of the new patio is:
`lw = (x + 5)(x - 5)`

Area of the new patio:

Dimension of original patio = x by x = 12 ft by 12 ft.

To find area of the new patio, replace x with 12 in the expression,
`lw = (x + 5)(x - 5)` , which gives you the area.

`area = lw = (12 + 5)(12 - 5)`

`area = (17)(7)`

`area = 199 ft^2`

Answer is D.
`lw = (x + 5)(x - 5) ; 119 ft^2`