Question

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

Answer 1

• Given

• Dimension of a sheet of paper -
• Length = 30 cm
• Breadth = 20 cm
• A strip of 4 cm is cut from all its sides.

• To find

• Area of the remaining sheet = ?

• How to solve?

• Firstly, find the area of sheet.
• Then subtract (4 + 4) cm from each side.
• Find the area if the sheet using new dimensions.
• Area of remaining sheet = Area of sheet - Area of sheet with new dimensions.

• Solution

Area of sheet (PQRS)

= Length × Breadth

⇛ (30 × 20) cm

⇛ 600 cm²

$\red{\bigstar}$ $\large{\underline{\boxed{\bf{\green{Area~of~sheet~=~600~cm^2}}}}}$

Dimensions of the sheet when 4 cm is cut from all around -

• Length = 30 - (4 + 4) = 22 cm
• Breath = 20 - (4 + 4) = 12 cm

Area of sheet (ABCD)

= Length × Breadth

⇛ (22 × 12) cm

⇛ 264 cm²

$\red{\bigstar}$ $\large{\underline{\boxed{\bf{\green{Area~of~sheet~when~4~cm~is~cut~from~all~around=~264~cm^2}}}}}$

$\pink{\bigstar}$ Area of remaining sheet = Area of sheet PQRS - Area of sheet ABCD

= (600 - 264) cm²

= 336 cm²

$\red{\bigstar}$ $\large{\underline{\boxed{\bf{\blue{Area~of~remaining~sheet~=~336~cm^2}}}}}$

Answer 2

Answer:

336cm2

Hope you understood