The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. The length of this rectangle is ___ (the answer is not 12)

1 answer

By using the Pythagorean theorem, we can find the length of the rectangle.

Let the length of the rectangle be L.

According to the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.
So, we have:

4^2 + L^2 = 13^2
16 + L^2 = 169
L^2 = 169 - 16
L^2 = 153
L = sqrt(153)
L ≈ 12.37 feet

Therefore, the length of the rectangle is approximately 12.37 feet.