Question

A piece of cloth which is 10 m length is cut into
two pieces such that the length of the one piece is
equal to one-fourth the length of the other. Find
the lengths of the two pieces.​

Answer 1

$\huge{\bf{\purple{\underline{\underline{\colorbox{lavender}{\color{purple}{Áղsաҽɾ}}}}}}}$

Given :

Total length of the piece of cloth = 10m

Now, let the length of one piece be x metre

Then, length of the other piece = one fourth of x = 1/4x

Equation formed :

$\\ x + \frac{1}{4} x = 10$

Solving the equation :

$\\ x + \frac{1}{4} x = 10$

$\\ \implies \frac{1}{1} x + \frac{1}{4} x = 10$

$\\ \implies \frac{5}{4} x = 10$

$\implies5x = 10 \times 4 = 40$

$\\ \implies \therefore \: x = \frac{40}{5} = 8$

Therefore :

Length of one piece = x = 8m

Length of another piece = 1/4x = 1/4 × 8 = 2m

━━━━━━━━━━━━━━━━━━━━