Question

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VOUU
(IV)
VIUUU
Devika has a square piece of cloth of area 9 m2 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

Given:

Area of the square cloth = 9 m²

Number of square-shaped scarves needed = 16

To Find:

The length of the scarf

Formula needed:

$\text{Area of a square } = \text{Length}^2$

Solution:

Find the area of a scarf:

$\text{Total area of cloth} = 9 \text { m}^2$

$\text{Number of scarves} = 16$

$\text{Area of 1 scarf} = 9 \div 16$

$\text{Total area of scarf} = \dfrac{9}{16} \text { m}^2$

Find the length of a scarf:

$\text{Area of a square } = \text{Length}^2$

$\text{Length}^3 = \dfrac{9}{16} \text { m}^2$

$\text{Length} = \sqrt{\dfrac{9}{16} }$

$\text{Length} = \dfrac{3}{4} } \text { m}^2$

$\boxed {\text{Answer : } \dfrac{3}{4} \text { m}^2}$