Question

The width of a plot of land is 5/6 of its length. If the length had been 2 feet less and widhth 5 feet more, the plot would become a square. What are the dimensions of the plot?

Answer 1

Hello,

Let's assume a the width of the land and b its length.

$a=\dfrac{5}{6}b\\ b-2=a+5\ \Rightarrow\ b=a+7\\ \Rightarrow\ b=\dfrac{5}{6}b+7 \\ \Rightarrow\ \dfrac{b}{6}=7 \\ \Rightarrow\ b=42\ and\ a=35\ (feet)$