Q. 3.     A picture is painted on a cardboard $8\; cm$ long and $5\; cm$ wide such that there is a margin of $1.5\; cm$ along each of its sides. Find the total area of the margin.

R

It is given that cardboard is $8\; cm$ long and $5\; cm$ wide such that there is a margin of $1.5\; cm$ along each of its sides

It is clear that it is rectangular shaped with $length = 8 \ cm \ and \ breadth = 5 \ cm$

We know that the area of the rectangle is $= length \times breadth$

$\Rightarrow length \times breadth = 8 \times 5 = 40 \ cm^2$                   -(i)

Now, the length and breadth of cardboard without margin is

Area of cardboard without margin is

$\Rightarrow length \times breadth = 5 \times 2 = 10 \ cm^2$                              -(ii)

Area of margin is (i) - (ii)

$\Rightarrow 40-10= 30 \ cm^2$

Therefore, the area of margin is  $30 \ cm^2$

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