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The perimeter of… (Class 10 Maths Basic SQP 2026-27, Q15)

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MathsCBSE Class 10 · Basic · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2026-27: question 15

From the official CBSE sample question paper for 2026-27, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q15 · 1 mark · MCQTriangles

The perimeter of two similar triangles is 28 cm and 35 cm respectively. If one side of the first triangle is 8 cm, then the corresponding side of the second triangle is

  1. (A)10 cm
  2. (B)12 cm
  3. (C)14 cm
  4. (D)16 cm

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

Open one hint at a time and try again before the next.

Hint 1

How are the perimeters of similar triangles related to their sides?

Hint 2

Set up a proportion and solve for the unknown side.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. For similar triangles, the ratio of perimeters equals the ratio of corresponding sides: .

  2. cm. Option (A).

    1 mark

Answer: 10 cm, option (A)

Where the marks are

  • Uses ratio of perimeters = ratio of sides to get 10 cm (1 mark)

Revise the chapter

  • Chapter: Triangles (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Triangles, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2026-27 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.