Question

the area of A0 paper is one square metre .calculate the lengths of sides of A4 paper correct to a millimetre,using calculator ?​

Answer 1

250 sq.millimetere for A4 paper

Answer 2

The lengths of sides of A4 paper correct to a millimeter is 297 mm.

Step-by-step explanation:

Given : The area of A0 paper is one square meter.

To find : Calculate the lengths of sides of A4 paper correct to a millimeter, using calculator ?​

Solution :

Area of A0 paper = 1 m²

Area of A1 paper = half of 1  = $\frac{1}{2}\ m^2$

Area of A2 paper = half of    $\frac{1}{2}=\frac{1}{4}\ m^2$  

Area of A3 paper = half of   $\frac{1}{4}=\frac{1}{8}\ m^2$  

Area of A4 paper = half of  $\frac{1}{8}=\frac{1}{16}\ m^2$  

Now we calculate the sides of A4 sizes:

Let the length be l and width be w

Area = Length × width

 $\frac{1}{16}=L\times W$  

We know that, $L=\sqrt2 W$  

  $\frac{1}{16}=\sqrt2 W\times W$  

  $\frac{1}{16}=\sqrt2 W^2$  

  $W^2=0.04419$  

  $W=0.2102\ m$  

  $W=210.2\ mm$  

So, length is $L=\sqrt2 \times 0.2102$  

$L=\sqrt2 \times 210.2$  

 $L=297.3\ mm$  

The lengths of sides of A4 paper correct to a millimeter is 297 mm.

#Learn more

Percent is a fraction where

a0 parts make one whole.

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