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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.


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Solution

Given

The length of the cardboard =8cm

The breadth of the cardboard=5cm

Step 1- Area of Cardboard

Area of the cardboard = length × breadth

=8×5=40cm2

Step 2- Area of cardboard when margins are not included

From the figure,

The new length of the cardboard when the margin is not included =(8-1.5-1.5)cm=5cm

The new breadth of the cardboard when the margin is not included =(5-1.5-1.5)cm=2cm

The new area of the cardboard =new length ×new breadth

=5×2=10cm2

Step 3 - Area of the margin

The area of margin= Area of the cardboard -Area of the cardboard when the margin is not included

=(40-10)cm2=30cm2

Hence, the total area of the margin is 30cm2


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