Question

What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? Round to the nearest tenth.

Answer 1

Answer:

The length of the diagonal of a poster board is 35.6 inches.

Step-by-step explanation:

To find : What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches?

Solution :

The dimensions of a poster board is

Length = 22 inches

Breadth = 28 inches

The diagonal is given by,

$D=\sqrt{L^2+B^2}$

$D=\sqrt{22^2+28^2}$

$D=\sqrt{484+784}$

$D=\sqrt{1268}$

$D=35.60$

Therefore, the length of the diagonal of a poster board is 35.6 inches.

Answer 2

Answer:

The length of the diagonal of a poster board is $35.6\ in$

Step-by-step explanation:

Let

x----> the length of the diagonal of a poster board

we know that

Applying the Pythagoras Theorem

$x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in$