Question

A three and a half metr long rod is to be cut into 2 pieces, one piece is to be bent into a square and the other into an equilateral triangle. The length of their sides must be the same. How should it be cut?

Answer 1

Answer:

Length of each piece=3.5/2 = 1.75m=175cm

square

perimeter=4a=175

side =175/4=43.75 cm

Equilateral triangle

perimeter=3a=175

side = 175/3=58.3cm

Ist. pieceI72cm length 172/4=43cm

and piece 129cm Length 129/3=43cm

Answer 2

QUESTION : -

• A three and a half metre long rod is to be cut into two pieces, one piece is to be bent into a square and the other into a equilateral triangle. The length of their sides must be the same. How should it be cut?

ANSWER :-

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

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

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

Length of the rod for the square

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

Length of thr for the quadrilateral triangle

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