A city block is a square with each side measuring 98 yards. Find the length of the diagonal of the city block.

The Pythagorean theorem tells you the diagonal measure (d) can be found from the equation

d² = (98 yd) ^2 + (98 yd) ^2

d² = 19208 yd^2

Taking the square root, we find the diagonal to be

d = √ (19208 yd^2)

d ≈ 138.6 yd

The length of the diagonal of the city block is about 138.6 yards.