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. - Mathematics

प्रश्न

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.

उत्तर

Length (l) of cardboard = 8 cm

Breadth (b) of cardboard = 5 cm

Area of cardboard including margin = l × b = 8 × 5 = 40 cm²

From the figure, it can be observed that the new length and breadth of the cardboard, when margin is not included, are 5 cm and 2 cm respectively.

Area of the cardboard not including the margin = 5 × 2 = 10 cm²

Area of the margin = Area of cardboard including the margin − Area of cardboard not

including the margin

= 40 − 10 = 30 cm²

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