Answer:
1. Length of the rectangle = 7
2. Area of the base of the prism = 8
Step-by-step explanation:
1.
[tex]l(x + 2) = {x}^{2} + 5 x + 6 \\ l(4 + 2) = {4}^{2} + 5(4) + 6 \\ 4l+ 2yl= 16 + 20 + 6 \\ 6l = 42 \\ \frac{6l}{6} = \frac{42}{6} \\ l= 7[/tex]
2.
[tex]b(s - 3) = {s}^{2} - 9 \\ b(5 - 3) = {5}^{2} - 9 \\ 5b - 3b = 25 - 9 \\ 2b = 16 \\ \frac{2b}{2} = \frac{16}{2} \\ b = 8[/tex]
