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

Answer:

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

Step-by-step 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. $lw = (x + 5)(x - 5) ; 119 ft^2$