Answer:
[tex]L=15\tfrac{6}{8} \ feet[/tex]
[tex]B=20 \ feet[/tex]
Step-by-step explanation:
Given that the dimensions of a rectangular field is (in feet)
[tex]l=12\tfrac{1}{2}=\frac{12 \times 2 +1}{2}=\frac{25}{2}[/tex]
[tex]b=16\tfrac{3}{4}=\frac{16 \times 4 +3}{4}=\frac{67}{4}[/tex]
Now we are being told that [tex]1\tfrac{5}{8}[/tex] feet is added to each side. Hence New Dimensions will be
[tex]1\tfrac{5}{8}=\frac{1 \times 8 +5}{8}=\frac{13}{8}[/tex]
[tex]L = \frac{25}{2}+\frac{13}{8}+\frac{13}{8}[/tex]
[tex]L=\frac{25 \times 4}{2 \times 4}+\frac{13}{8}+\frac{13}{8}[/tex]
[tex]L=\frac{100}{8}+\frac{13}{8}+\frac{13}{8}[/tex]
[tex]L= \frac{100+13+13}{8}[/tex]
[tex]L= \frac{126}{8}[/tex]
[tex]L=15\tfrac{6}{8}[/tex]
[tex]B= \frac{67}{4}+\frac{13}{8}+\frac{13}{8}[/tex]
[tex]B= \frac{67\times 2}{4\times 2}+\frac{13}{8}+\frac{13}{8}[/tex]
[tex]B= \frac{134}{8}+\frac{13}{8}+\frac{13}{8}[/tex]
[tex]B= \frac{134+13+13}{8}[/tex]
[tex]B=\frac{160}{8}[/tex]
[tex]B=20[/tex]
Hence New Dimensions are
[tex]L=15\tfrac{6}{8} \ feet[/tex]
[tex]B=20 \ feet[/tex]
