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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.



Answer -


Length = 8 cm, breadth = 5 cm
Area of the cardboard = l × b
= 8 cm × 5 cm = 40 cm2
Width of the margin = 1.5 cm
Length of the inner cardboard
= 8 cm – 1.5 × 2 cm
= 8 cm – 3 cm = 5 cm
Breadth of the inner cardboard
= 5 cm – 1.5 × 2 cm
= 5 cm – 3 cm = 2 cm
Area of the inner rectangle = l × b
= 5 cm × 2 cm = 10 cm2 Area ofthe margin
= 40 cm2 – 10 cm2 = 30 cm2
Hence, the required area = 30 cm2.

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