Square roots of perfect squares

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Ren's puppy gets a square play yard with an area of 144 square feet. The fence goes all around the edge. How many feet of fence are needed?

   48
2. 2.

   Zee's square plant bed has an area of 196 square feet, with a fence all the way around. The plants wave. How many feet of fence are needed?

   56
3. 3.

   Ari's padlock tag says √(64 + 36). Work inside the root first. What is √(64 + 36)?

   10
4. 4.

   Bo's robot shows √(144 + 25) on its screen. It is thinking hard. What is √(144 + 25)?

   13
5. 5.

   “A: √121 B: 10 C: √196 D: 13” Kira's notes list four numbers, and some have square root signs. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?

   B, A, D, C
6. 6.

   “A: 9 B: √100 C: √64 D: 11” Luz's notes list four numbers, and some have square root signs. Write the letters with commas, like P, Q, R, S. What is the order from least to greatest?

   C, A, B, D
7. 7.

   Noah's square quilt block has an area of 144 square inches, and a border 1 inch wide goes all around it. How long is each side of the block with its border, in inches?

   14
8. 8.

   Pia glues a square sheet of paper with an area of 100 square cm onto a card, leaving a 3 cm border all around. How long is each side of the card, in cm?

   16
9. 9.

   Ren's square flower bed has an area of 169 square feet, and a path 2 feet wide goes all around it. How long is each side of the bed with its path, in feet?

   17
10. 10.

    Tala's robot shows x² + 5 = 54 and needs the positive number x. What is x?

    7