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.

   Tala sews ribbon all around a square blanket with an area of 64 square feet. The blanket is very soft. How many feet of ribbon are needed?

   32
3. 3.

   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
4. 4.

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

   10
5. 5.

   Esme's math book asks for √(225 + 64). The sum makes a perfect square. What is √(225 + 64)?

   17
6. 6.

   “A: √81 B: 8 C: √36 D: 7” Jun'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, D, B, A
7. 7.

   “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
8. 8.

   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
9. 9.

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

   7
10. 10.

    Zee's math book asks for the positive number n with n² − 9 = 135. What is n?

    12