Q1. A sheet of paper is 40 cm long and 30 cm wide. A strip of width 3.5 cm is cut out from all around it. Find the area of the strip and the remaining sheet of paper.
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Step-by-step explanation:
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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