Question

A rectangular carpet measures 30 feet long and 45 feet wide. What is the length of thediagonal of the carpet? If necessary, round your answer to the nearest tenth.*Draw yourself a picture to help. Label the length 30 and the width 45. Using the PythagoreanTheorem, solve for the diagonal. This will be the missing "c" value.

Answer 1

The problem can be observed in the figure below.

To find the missing value "c", follow the steps below.

Step 01: Write the Pythagorean theorem.

`c^2=a^2+b^2`

Where:

c = hypotenuse.

a and b = legs.

Step 02: Substitute the values in the equation.

a = 30.

b = 45.

`\begin{gathered} c^2=30^2+45^2 \\ c^2=900+2025 \\ c^2=2925 \end{gathered}`

Taking the root from both sides:

`\begin{gathered} \sqrt[]{c^2}=\sqrt[]{2925} \\ c=54.08 \end{gathered}`

Answer: The diagonal c measures 54.08 feet.