Question

a sheet of paper measures 30 cm by 20 cm. A strip 4cm wide is cut from it all around. Find the area of the remaining sheet and also the area of the strip cut?

Answer 1

Let ABCD denotes the rectangular sheet.

Length of sheet = 30 cm

Breadth of sheet = 20 cm

∴ Area of sheet = Length × Breadth

                         = (30 × 20) cm2

                         = 600 cm2

4 cm wide strip is cut from rectangular sheet all around, then we obtain a rectangular sheet PQRS, having

Length = (30 – (4 + 4)) cm = 22 cm

Breadth = (20 – (4 + 4)) cm = 12 cm

∴ Area of remaining sheet PQRS = (22 × 12) cm2  = 264 cm2

∴ Area of strip cutout = Area of sheet ABCD – Area of sheet PQRS

                                   = (600 – 264) cm2

                                   = 336 cm2



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