Question

A farmer needs to enclose two adjacent rectangular pastures. How much fencing does the farmer need? Write your answer as a mixed number.

Answer 1

so hmm check the picture below.

let's first convert each mixed to "improper fraction" and do the sum.


`\bf 30(2)/(9)\implies \cfrac{30\cdot 9+2}{9}\implies \cfrac{272}{9} \\\\\\ 50(5)/(8)\implies \cfrac{50\cdot 8+5}{8}\implies \cfrac{405}{8}\\\\ -------------------------------\\\\`


`\bf 30(2)/(9)+30(2)/(9)+30(2)/(9)+50(5)/(8)+50(5)/(8)\implies 3\left( 30(2)/(9) \right)+2\left( 50(5)/(8) \right) \\\\\\ 3\left( (272)/(9) \right)+2\left( (405)/(8) \right)\implies 1\left( (272)/(3) \right)+1\left( (405)/(4) \right)\impliedby \textit{using the LCD of 12} \\\\\\ \cfrac{(4\cdot 272)~+~(3\cdot 405)}{12}\implies \cfrac{1088+1215}{12}\implies \cfrac{2303}{12}\implies 191(11)/(12)`