Question

a sheet of paper measures 35 cm by 25 cm . a strip of 5 cm width is cut from it ,all around . find the area of the remaining sheet and all the area of the cut-out strip

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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Answer 2

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