A sheet of paper measure 30 cm and 20 cm. A strip 4 cm wide is cut from it all around. find the area of remaining sheet and also the area of the strip cut out.
Answers
Area of sheetl×b
=50×30=1500sq.cm
A strip 6cm wide is cut from all around.So
Length of remaining sheet=50−6−6=38cm
Breadth of remaining sheet=30−6−6=18cm
Area of remaining sheet=38×18=684sq.cm
Area of strip cut out=1500−684=816sq.cm
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