Question

Devika has a square piece of doth of area 9 m and she wants to make
16 square-shaped scarves of equal size out of it. What should possibly be the
length of the side of the scarf that can be made out of this piece?​

Answer 1

$\setlength{\unitlength}{1.6mm}}\begin{picture}(30,20)\linethickness{0.3mm}\put(0,0){\line(0,1){30}}\put(0,0){\line(1,0){30}}\put(0,30){\line(1,0){30}}\put(30,0){\line(0,1){30}}\put(-3,29.5){A}\put(-3,-0.5){B}\put(-6.5,15){4 m}\put(31,15){4 m}\put(32,29.5){D}\put(32,-0.5){C}\put(12,-2){4 m}\put(12,31.5){4 m}\end{picture}$

Area of cloth = 16m²

→ side × side = 16m²

→ side² = 16m²

→ side = $\bold{\sqrt{{16m}^{2}}}$

→ side = $\bold{\sqrt{4 \times 4 \times m \times m}}$

→ side = 4m

★ Length of side of cloth is 4m

Answer 2

$\textbf{Let the side of the square = x}$

$\textbf{Area of square}$ = (x²) = 9 m²

$\mapsto$16 (x²) = 9m²

$\mapsto$x² = $\sf\dfrac{9}{16}$m²

$\mapsto$x = $\sf\sqrt{\frac{9}{16}}$m²

$\mapsto$x = $\sf\dfrac{3}{4}$m

$\mapsto$$\fbox{x = 0.75 m}$