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A painting 8 cm long and 5 cm wide is painted on a cardboard such that there is a margin 1.5 cm along each of its sides. Find the total area of the margin.

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25 c m 2

30 c m 2

35 c m 2

40 c m 2

answer is B.

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Detailed Solution

Given a painting 8 cm long and 5 cm wide.
Q3 A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 15 cm ...

Area of the cardboard including the margin is,

A = l e n g t h × b r e a d t h ⇒ A = 8 c m × 5 cm

⇒ A = 40 cm 2

Length of the painting without margin is,

⇒ L = 8 cm − (1.5 cm + 1.5 cm)

⇒ L = (8 − 3) cm

⇒ L = 5 cm

Breadth of the painting without margin is,

⇒ B = 5 cm − (1.5 cm + 1.5 cm)

⇒ B = (5 − 3) cm

⇒ B = 2 c m

Area of the painting not including the margin is,

= 5 cm × 2 cm

= 10 c m 2

Area of the margin is,
A = Area of the cardboard including the margin – Area of the painting

⇒ A = (40 − 10) cm 2

⇒ A = 30 cm 2

Therefore, area of the margin is

30 c m 2

.
Hence, option 2 is correct.

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