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Ayushree
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Asked: 2025-08-01T10:25:02+00:00 In:

Akhil has a square piece of cloth of area 125 cm2. He wants to know if he can cut out a square handkerchief of side 15 cm. If not, he wants to know the maximum size handkerchief that can be cut out from this piece of cloth with an integer side length.

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No, he cannot cut a 15 cm square handkerchief because 15² = 225, which is more than 125. The nearest perfect square below 125 is 121 and √121 = 11. So, he can cut a handkerchief of side 11 cm.

Class 8 Mathematics Chapter 1 A Square and A Cube question answer

Class 8 NCERT Ganita Prakash Chapter 1 A Square and A Cube solutions

a square piece of cloth of area 125 cm2class 8 maths a square and a cube extra questionsclass 8 maths chapter 1 extra questions a square and a cube
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    1. Akhil cannot cut a 15 cm × 15 cm square from 125 cm² because 15² = 225, which exceeds the cloth’s area. The largest square he can cut must have an area less than or equal to 125. The closest perfect square less than 125 is 121 and √121 = 11. So, the biggest square handkerchief with an integer side that Akhil can cut is 11 cm × 11 cm.

       

      For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:

      https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/

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