Question

The width of a plot of land is 5/6 of its length . If the length had been 3 feet less and the width 5 feet more, the plot would become a square . What are the dimensions of the plot of land?

Answer 1

let L be the length and B be the width of the plot

B = L5/6 (given)

If the length had been 3 feet less and the width 5 feet more, the plot would become a square such that,

L - 3 = L5/6 + 5

L - L5/6 = 5 + 3

(6L - 5L)/6 = 8

L = 8 X 6 = 48

so,

length = L = 48 feet

& width = L5/6 = 48 X 5 / 6 = 40 feet