Question

A piece of cloth required to make a bag is 36 cm long and 24 cm broad. How many such bags can be made from a square piece of cloth whose side is 3.6 m?

Answer 1

Length of the piece of cloth of the bag = 36 cm
Breadth of the piece of cloth of the bag = 24 cm
Area of the cloth of the bag = length × breadth
= 36 × 24 cm²
= 864 cm²


Length of the square piece of cloth = 3.6 m = 360 cm
Area of the total cloth = side × side
= 360 × 360 cm²
= 129600 cm²

$$\begin{gathered} \mathrm{Number}\mathrm{of}\mathrm{bags}=\frac{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{total}\mathrm{cloth}}{\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{cloth}\mathrm{of}\mathrm{a}\mathrm{bag}} \\ =\frac{129600}{864} \end{gathered}$$
= 150 bags