Question

1. The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet.

Which measurement is closest to the length of this rectangle in feet?

A)9ft

B)17ft

C)12.4ft

D)13.6ft

Answer 1

12.4 ft

Explanation:

Use the Pythagorean Theorem to find the length of the diagonal of the rectangle:

(4 ft)² + x² = (13 ft)², or 16 + x² = 169 ft²

Then x² = (169 - 16) ft², and x = +√(153 ft²) = 12.4 ft

(This matches Answer C)