a sheet of paper measuring 30 cm by 20 cm .A strip of side 4 cm is cut from all around .Find the area of remaining sheet and also the area of cut out step.
Answers
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
Area of rectanglular sheet = length × breadth
Given that, length of sheet = 30 cm and breadth of sheet = 20 cm
So,
Area of sheet = 30 × 20
→ 600 cm²
A strip is 4 cm wide is cute from all around.
So,
New length = 30 - 2(4)
→ 30 - 8
→ 22 cm
New breadth = 20 - 2(4)
→ 20 - 8
→ 12 cm
Area of sheet when 4 cm strip is cut from all around = length × breadth
→ 22 × 12
→ 264 cm²
Area of remaining sheet = Area of sheet - Area of sheet when 4 cm strip is cut from all around
→ (600 - 264) cm²
→ 336 cm²
