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To frame a portrait photo of 50 cm x 30 cm size, a 3 cm wide wooden strip is to be fixed all around the photo such that the· inner periphery of the wo
Question

To frame a portrait photo of 50 cm x 30 cm size, a 3 cm wide wooden strip is to be fixed all around the photo such that the· inner periphery of the wooden strip touches the boundary of the photo. What is the total length of the wooden strip required?

A.

150 cm

B.

172 cm

C.

180 cm

D.

184cm

Correct option is B

Given:

  • Photo size = 50 cm × 30 cm
  • Frame width = 3 cm
  • The inner edge of the wooden strip touches the photo's boundary

Formula:

  1. Inner Perimeter (touching photo) = 2 × (Length + Width)
  2. Additional length for corners = 4 corners × 3 cm (frame width)

Solution:

  • Inner Length = 50 cm
  • Inner Width = 30 cm
  • Inner Perimeter = 2 × (50 + 30) = 2 × 80 = 160 cm
  • Extra Length for corners = 4 × 3 cm = 12 cm
  • Total Length of Wooden Strip = 160 cm + 12 cm = 172 cm

Final Answer: (b) 172 cm

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