Question

Try It.

Sergio wants to make a square mosaic as an inlay for a table he is building. He has enough tile to cover an area of $2704$ square centimeters. Use the formula $s=\sqrt{A}$ to find the length of each side of his mosaic. Round your answer to the nearest tenth of a centimeter.

Short answer

Ans: The length of each side of Sergio's mosaic is$52cm.$

Step-by-step solution

Step 1. Given information.

given, Area $=2704c{m}^2$

Find the length of the side of the square mosaic.

Step 2. Name what you are looking for by choosing a variable to represent it. 

Let$s=thelengthofaside.$

Step 3. Translate into an equation by writing the appropriate formula or model for the situation.  

Substitute the given information and solve it.

$$\begin{gathered} s=\sqrt{A},andA=2704 \\ s=\sqrt{2704} \\ s=52 \end{gathered}$$

Step 4. Answer the question with a complete sentence. 

Each side of his mosaic should be$52cm$.