Question

a picture is painted on a carboard 50cm long and 30 cm wide such that there is a margin of 2.5 cm along each of its sides.find the total area of the margin

Answer 1

Answer: Area of margin is 375 cm²

Step by step explanation:

Given,

Length (L)= 50 cm

Breadth (B)= 30 cm



▪️ Area of Cardboard ▪️

=> length × width

=> 50 × 30 cm²

=> 1500 cm²


▪️ Area of the picture ▪️

  = length × width

  = 45 × 25 cm²

  = 1125 cm²




First, we will have to find length after adding the margin.

(L1) => 50 - (2.5 + 2.5)=55 cm

Now, we will have to find the breadth after adding the margin

(B1) => 30 - 5 = 35 cm

▪️ Area of total margin ▪️

= Area of the cardboard - Area of the picture

  = 1500 - 1125 cm²

     = 375 cm²



Therefore, the area of margin is 375 cm²

Answer 2

To find :

  We have to find the total area of margin where the picture is painted on a cardboard of 50 cm long and 30 cm wide such that there is a margin of 2.5 cm along each of the sides.

Answer :

    Area of the margin is 375 cm²

Step by step solution :

  • Step 1 (Area of the cardboard) :

Length of the cardboard = 50 cm

Width of the cardboard = 30 cm

Area of the cardboard

  = length × width

  = 50 × 30 cm²

  = 1500 cm²

  • Step 2 (Area of the picture) :

Length of the picture = 50 - (2 × 2.5) = 50 - 5 = 45 cm

Width of the picture = 30 - (2 × 2.5) = 30 - 5 = 25 cm

Area of the picture

  = length × width

  = 45 × 25 cm²

  = 1125 cm²

  • Step 3 (Area of the margin) :

Area of the total margin

= Area of the cardboard - Area of the picture

  = 1500 - 1125 cm²

     = 375 cm²

{ See the attachment horizontally for the figure }