Question

A painting 8cm long and 5cm wide is painted on a cardboard such that there is a margin of 1.5cm along each of its sides.Find the total area of the margin?​

Answer 1

AnSwer :

⌬ Length of the painting is 8 cm.

⌬ Breadth of the painting is 5 cm.

᠂ According to the Question Now :

↛Area of painting = Length × Breadth

↛Area of painting (ABCD) = 8 × 5

↛Area of painting = 40 cm²

∴ Area of painting is 40 cm².

Similarly,

⌬ Length of the cardboard is Length of the painting - 2 × margin = 8 - 2 × 1.5 = 8 - 3 = 5 cm

⌬ Breadth of the cardboard is Breadth of the painting - 2 × margin = 5 - 2 × 1.5 = 5 - 3 = 2 cm

᠂ According to the Question Now :

⇏Area of cardboard = Length × Breadth

⇏Area of cardboard = 5 × 2

⇏Area of cardboard = 10 cm²

∴ Area of cardboard is 10 cm².

◖ TOTAL AREA OF MARGIN :

⇢Area of margin = Area of painting - Area of cardboard

⇢Area of margin = 40 - 10

⇢Area of margin = 30 cm²

∴ Area of the margin is 30 cm².

Answer 2

Given:-

• Length = 8cm Long
• Breadth = 5 cm wide
• Margin = 1.5cm

To Find:-

• Total Area of the margin

Solution:-

30cm² is The total area of the margin.

Step By Step Explanation:-

Length of Cardboard = 8cm

Breadth of Cardboard = 5cm

Area of Cardboard = Length × Breadth

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ⠀⠀8 ⠀×⠀⠀ 5

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= ⠀⠀⠀40cm²

Area of Cardboard Without Margin = 5 × 2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 10cm²

Area of Margin = 40 - 10

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀= 30 cm²

Hence, Answer is 30cm²

Note:-

• Refer Attachment For more better Explanation ✅ $.$