Question

what is the length of the diagonal? the diagonal is 21.8 ft the diagonal is 26 ft the diagonal is 20.9 ft the diagonal is 31 ft

Explanation:

Step1: Apply Pythagorean theorem

For a rectangle with length $l = 10$ cm and width $w=24$ cm, the diagonal $d$ of the rectangle satisfies the Pythagorean theorem $d^{2}=l^{2}+w^{2}$. So $d^{2}=10^{2}+24^{2}=100 + 576=676$.

Step2: Calculate the diagonal length

Take the square - root of 676. $d=\sqrt{676}=26$ cm.

Answer:

The diagonal is 26 ft (Note: there is a unit - mix in the problem setup, but based on the options the correct numerical value is 26).