Question

The rectangular rug has side lengths of 3 and 4 ft. What is the length of the diagonal? Draw a picture of the problem and solve. Round to the nearest tenth

Answer 1

ANSWER

The length of the diagonal is 5 ft

EXPLANATION

The diagram of the rug with the diagonal is:

The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:

$\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}$