Question

The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.

Answer 1

Answer:

Option C is the right answer.

Step-by-step explanation:

Given that:

Length of diagonal = 25 inches

Length of rectangle = 9 inches

Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.

Using Pythagorean theorem;

$a^2+b^2=c^2\\(9)^2+w^2=(25)^2\\81 + w^2 = 625 \\w^2 = 625-81\\w^2 = 544$

Taking square root;

$\sqrt{w^2}=\sqrt{544}\\w=23.3$

Therefore,

Option C is the right answer.