How to find the diagonal of a rectangle?

Understand the Problem

The question is asking for a method to calculate the length of the diagonal of a rectangle using its dimensions (length and width). This is typically approached using the Pythagorean theorem.

$d = \sqrt{l^2 + w^2}$

The final answer is derived by calculating $d = \sqrt{l^2 + w^2}$

Steps to Solve

1. Identify the dimensions of the rectangle

Let the length of the rectangle be $l$ and the width be $w$.

2. Set up the Pythagorean theorem

According to the Pythagorean theorem, the diagonal $d$ of the rectangle can be found using the formula: $$d = \sqrt{l^2 + w^2}$$

3. Substitute the values of length and width

Plug the values of $l$ and $w$ into the formula: $$d = \sqrt{l^2 + w^2}$$ Calculate the squares of $l$ and $w$.

4. Solve for the diagonal

Sum the squares of the length and width, then take the square root of that sum to find the length of the diagonal.

The final answer is derived by calculating $d = \sqrt{l^2 + w^2}$