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.
Given :
The length of the cardboard $= 8 cm$
The breadth of the cardboard $= 5 cm$
Width of the margin $= 1.5 cm$
To do :
We have to find the total area of the margin.
Solution :
This implies,
Length of the inner rectangle $= 8-(1.5+1.5) cm = (8-3) cm = 5 cm$
Breadth of the inner rectangle $= 5-(1.5+1.5) cm = (5-3) cm = 2 cm$
Area of the margin $=$ Area of outer rectangle $-$ Area of the inner rectangle.
We know that,
The area of a rectangle of length l and breadth b is $l \times b$.
Therefore,
Area of the margin $= (8\times 5) sq.cm - (5\times 2) sq.cm. = (40-10) sq.cm. = 30 sq.cm$.
The total area of the margin is $30 cm^2$.
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