Question

to the nearest whole number, the length of the diagonal of a square is 7 inches. which measure could be the actual length, in inches, of the diagonal of the square?
responses
sqrt(13)
sqrt(40)
sqrt(21)
sqrt(50)

Answer 1

To find the actual length of the diagonal of the square, we need to square each of the given values and see if they equal 49 (7 squared).

- sqrt(13) ≈ 3.6 (when squared, ≈ 12.96)
- sqrt(40) ≈ 6.3 (when squared, ≈ 39.69)
- sqrt(21) ≈ 4.6 (when squared, ≈ 21.16)
- sqrt(50) ≈ 7.1 (when squared, ≈ 50.41)

Therefore, the nearest whole number length that could be the actual diagonal length is 7 inches, making the correct measure sqrt(50).