Word Problems with Square Roots
Read each problem carefully. Show your working and write your answer on the line provided.
1. A square garden has an area of 64 square metres. What is the length of one side of the garden?
Working:
Answer: _______________________________
2. Emma is arranging 81 chairs in a square formation for a school assembly. How many chairs will be in each row?
Working:
Answer: _______________________________
3. A square playground has an area of 225 square metres. What is the perimeter of the playground?
Working:
Answer: _______________________________
4. Tom has 144 square tiles. He wants to arrange them into a large square. How many tiles will be along each edge of the square?
Working:
Answer: _______________________________
5. A square piece of fabric has an area of 196 square centimetres. What is the length of one side in centimetres?
Working:
Answer: _______________________________
6. Sarah is making a square photo collage using 100 photos. If she arranges them in a perfect square, how many photos will be in each row?
Working:
Answer: _______________________________
7. A square courtyard has an area of 169 square metres. Fencing costs $15 per metre. How much will it cost to fence all four sides of the courtyard?
Working:
Answer: _______________________________
8. A teacher has 121 students and wants to arrange them in a square formation for a photograph. How many students will be in each row?
Working:
Answer: _______________________________