Question

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.

Answer 1

Length of painted cardboard$$=8$$ cm and breadth of painted card $$=5$$cm

Since, there is a margin of $$1.5$$cm long from each of its side.

Therefore reduced length
$$=8-(1.5+1.5)=8-3=5$$cm

And reduced breadth
$$=5-(1.5+1.5)=5-3=2$$cm

$$\therefore$$ Area of margin$$=$$Area of cardboard(ABCD)$$-$$Area of cardboard(EFGH)
$$=(AB\times AD)-(EF\times EH)$$
$$=(8\times 5)-(5\times 2)$$
$$=40-10$$
$$=30cm^2$$

Thus, the total area of margin is $$30cm^2$$.