A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
20
24
30
33
Explanation:
Let the side of the square(ABCD) be $x$ metres.
Then, AB + BC = 2$x$ metres.
AC = $ \sqrt{2} x$ = (1.41$x$) m.
Saving on 2$x$ metres = (0.59$x$) m.
Saving % =$ \left(\dfrac{0.59x}{2x} \times 100\right) $%= 30% (approx.) |