Explanation:
Ezra has a square brick patio where x represents the length of one side of this square patio:
And hee wants to reduce the width by 6 feet, and increase the length by 6 feet.
The new width is x-6,
The new length is x+6.
[tex]\begin{gathered} Expressions\text{ for the length and the width of the new patio:} \\ l=x+6 \\ w=x-6 \end{gathered}[/tex]
Then, we need to find the area of the new patio:
[tex]A=lw[/tex]
We multiply the length by the width. The area is:
[tex]lw=(x+6)(x-6)[/tex]
And finally, if the original measure of the sides is x=13 ft, the area of the new patio is:
[tex]\begin{gathered} (x+6)(x-6) \\ \downarrow \\ (13+6)(13-6) \\ \downarrow \\ (19)(7) \\ \downarrow \\ 133 \end{gathered}[/tex]
Since it represents the area the units are square feet:
133 square feet.
These results are shown in option B.
Answer:
[tex]lw=(x+6)(x-6);133\text{ square feet}[/tex]
