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  • 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.

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.

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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 $=8 \mathrm{~cm}$ and breadth $=5 \mathrm{~cm}$
We know that the area of the rectangle is $=$ length $\times$ breadth
$\Rightarrow$ length $\times$ breadth $=8 \times 5=40 \mathrm{~cm}^2$------(i)
Now, the length and breadth of cardboard without margin is

$\Rightarrow \text { length } \times \text { breadth }=5 \times 2=10 \mathrm{~cm}^2$------(ii)
The area of margin is (i) - (ii)
$\Rightarrow 40-10=30 \mathrm{~cm}^2$
Therefore, the area of margin is $30 \mathrm{~cm}^2$

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