Question

A three and half metres long rod is to be cut into two pieces one piece is to be bent into a square and other into an equilateral triangle. length of a side of both must be the same. how should it be cut?

Answer 1

As we want to make a square(4 sides) and a equilateral triangle (3 sides) with same side length.
Thus we have to divide 3.5 by 4+3=7 that is 3.5/7=0.5
Hence it should be cut in 0.5 meter length.

Answer 2

$3 \frac{1}{2} \div 7$

$3 \frac{1}{2} = \frac{7}{2} \div 7$

$\frac{ \frac{7}{2} }{7} = \frac{7}{2 \times 2} = \frac{7}{14} = \frac{1}{2} cm$

Length of the rod for the square

$= 4 \times \frac{1}{2} = 2m$

Length of thr for the quadrilateral triangle

$= 3 \times \frac{1}{2} = 1 \frac{1}{2} m$