How do you do Test 5 Section 4 #35?

How do you do Test 5 Section 4 #35?

The area of a rectangular garden will be its length times its width: $A=lw$ . If we know that the length of this garden is 5 feet longer than its width, we can substitute $l-5$ for $w$ : $A=l(l-5)$ . From there, we set the area equal to 104 and solve.

$\begin{align*}104&=l(l-5)\\104&=l^2-5l\\0&=l^2-5l-104\end{align*}$

At this point, you can factor if that’s how you like to roll, or you can graph. To factor, simply figure out which pair of factors for 104 are 5 apart. 13 and 8 are, so you know that:

$\begin{align*}0&=(l-13)(l+8)\end{align*}$