A rule for finding the approximate length of diagonal of a square is to multiply the length of a side of the square by 1.414. Find the length of the diagonal when:
a. The length of a side of the square is 8.3 cm
b. The length of a side of the square is exactly 7.875 cm

Solution:

a. Length of a side of a square = 8.3 cm

Length of a diagonal of a square = 1.414 × 8.3 cm = 11.7362 cm

b. Length of a side of a square = 7.875 cm

Length of a diagonal of a square = 1.414 × 7.875 = 11.13525 cm

Therefore, length of a diagonal is 11.7362 cm when side is 8.3 cm and length of a diagonal is 11.13525 cm when side is 7.875 cm

✦ Try This: Evaluate 8(1/2) × 1(2/3)

To solve the above problem you can follow the fractions and decimals rules to get the required answer.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 2

NCERT Exemplar Class 7 Maths Chapter 2 Exercise Problem 69

A rule for finding the approximate length of diagonal of a square is to multiply the length of a side of the square by 1.414. Find the length of the diagonal when: a. The length of a side of the square is 8.3 cm, b. The length of a side of the square is exactly 7.875 cm

Summary:

The length of a diagonal is 11.7362 cm when side is 8.3 cm and length of a diagonal is 11.13525 cm when side is 7.875 cm

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