Question

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

Which measurement is closest to the width of this rectangle in inches?

A) 15.8
B) 16
C) 23.3
D) 34

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.

Answer 2

We will see that the width of the rectangle is 23.3, so the correct option is C.

How to get the width if we know the length and the diagonal?

For a rectangle of length L and width W the diagonal length is given by:

D = √( W^2 + L^2)

Rewriting this for the width we get:

W = √(D^2 - L^2)

Here we know that:

D  = 25 in

L = 9 in

Replacing that in the equation above we get:

W = √( (25 in)^2 - (9 in)^2 ) = 23.3

So the correct option is C.

If you want to learn more about rectangles you can read:

https://brainly.com/question/17297081