Question

*How many square handkerchiefs of side 60 cm will be made from a 12 m long and 1.2 m wide rectangular cloth?*

1️⃣ 6
2️⃣ 40
3️⃣ 4
4️⃣ 400​

Answer 1

$✯ \: \sf \blue{Question : - }$

How many square handkerchiefs of side 60 cm will be made from a 12 m long and 1.2 m wide rectangular cloth?

$✯ \: \sf \pink {Given : - }$

• Sides of square handkerchiefs = 60 cm
• Length of rectangular cloth = 12 m = 12 x 100 = 1200 cm
• Width of rectangular cloth = 1.2 m = 1.2 x 100 = 120 cm

$✯ \: \sf \red {To \: Find :-}$

How many square handkerchiefs can be made out of that rectangular cloth?

$✯ \: \sf \purple {Solution :-}$

First of all we will find out the area of 1 square handkerchief. We know that,

$✯ \: \sf \orange {Area \: of \: square :-} \\ \longrightarrow \sf \: side \times side \: \: \: \: \: \: \: \: \:$

Therefore, area,

$\sf : \implies \: 60 \times 60 \: \: \\ \sf : \implies \:3600 \: {cm}^{2}$

$✯ \sf \gray {Area \: of \: rectangle :-} \\ \longrightarrow \sf length \: \times breadth \: \:$

Therefore, area of that cloth,

$: \implies \sf \: 1200 \times 120 \\ : \implies \sf \:144000 \: {cm}^{2}$

Now, number of handkerchiefs,

$: \implies \sf \: \frac{area \: of \: rectangle}{area \: of \: square} \: \: \\ : \implies \sf \: \frac{144000}{3600} = \frac{144 0\cancel{00}}{36 \cancel{00}} \\ : \implies \sf \: \frac{ \cancel{1440}}{ \cancel{36}} = 40 \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\sf \therefore\green{ Number \: of \: handkerchiefs \: = 40}$

Answer 2

Given:

Length of the cloth=12m

Width of the cloth=1.2m

Side of square handkerchief=60 cm

To find:

The number of handkerchiefs that can be made using the cloth

Solution:

The number of handkerchiefs that can be made using the cloth is 40. (Option 2)

The cloth is rectangular and so the area of the cloth has to be the product of its width and length.

The rectangular cloth's area=12×1.2

=14.4$m^{2}$

Now, the square handkerchief's side=60 cm=0.6m

The handkerchief's area=$side^{2}$

=0.6×0.6

=0.36 $m^{2}$

The required number of hankerchiefs=Area of the rectangular cloth/ square handkerchief's area

Using the values,

=14.4/0.36

=1440/36

=40

Therefore, the required number of handkerchiefs is 40.