Square Root Word Problems

Name: ___________________________
Date: ___________________________

Solve each problem. Show your working and write your answer with appropriate units.

1. A square vegetable garden has an area of 64 m². What is the length of one side of the garden?

Working:

Answer: ________________

2. A square tile has an area of 225 cm². What is the length of one side of the tile?

Working:

Answer: ________________

3. A square playing field covers 10,000 m². Calculate the length of one side of the field.

Working:

Answer: ________________

4. Emma wants to create a square picture frame with an area of 144 cm². How long should each side of the frame be?

Working:

Answer: ________________

5. A square carpet has an area of 16 m². What is the perimeter of the carpet?

Working:

Answer: ________________

6. A square courtyard has an area of 400 m². Fencing costs $15 per metre. How much will it cost to fence all four sides of the courtyard?

Working:

Answer: ________________