a painting 40 cm long and 28 cm is painted on a cardboard such that there is a margin of 2 cm along each of its sides. find the total area of the margin.
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Answer:
Total length of the painting including the margin = 40 cm
Total width of the painting including the margin = 28 cm
Area of the painting including the margin = 40*28
Area of the painting including the margin = 1120 sq cm
Length of the painting without the margin = 40 - (2 + 2)
= 40 - 4
= 36 cm
Width of the painting without the margin = 28 - (2 + 2)
= 28 - 4
= 24 cm
Area of the painting without the margin = 36*24
Area of the painting without the margin = 864 sq cm
Area of the margin = Area of the painting including the margin - Area of the painting without the margin
⇒ 1120 - 864
= 256 sq cm
So, the total area of the margin is 256 sq cm
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