Question

1. ramp a ramp at a dog park is made of three sections. the incline and decline pieces have a combined length of $26\sqrt{3}$ inches. the center is $10\sqrt{41}$ inches long. what is the total length of the ramp? give your answer as a radical expression.

Explanation:

Step1: Identify the lengths of each section

The three sections of the ramp have lengths: \(26\sqrt{3}\) inches, \(10\sqrt{41}\) inches, and \(13\sqrt{37}\) inches.

Step2: Add the lengths together

To find the total length, we sum the three radical expressions:
\[
26\sqrt{3} + 10\sqrt{41} + 13\sqrt{37}
\]
Since the radicals have different radicands (\(3\), \(41\), and \(37\)), we cannot simplify the expression further by combining like terms.

Answer:

\(26\sqrt{3} + 10\sqrt{41} + 13\sqrt{37}\) inches