Answer:
B. Directions: Solve each of the following. Show your solution and write your answer in simplified radical
form to a separate sheet of paper.
1. A rectangular field is 125 yards long and the length of one diagonal of the field is 150 yards. What
is the width of the field?
2. If the length of a rectangle is 15 cm and its width is 18 cm. Find the length of its diagonal.
3. Town B is 40 miles north and 41 miles west of town A. How far are the two towns?
4. A 21 m ladder stands on a horizontal ground and reaches 12 m up a vertical wall. How far is the
foot of the ladder from the base of the walll?
5. Find the hypotenuse of a right triangle whose legs measures 13 cm and 26 cm respectively.
6. One-fourth of the square root of a number is 4. Find the number.
7. The difference of a square root of a number and 3 is 2. What is the number?
8. A number is 4 more than half the other number. If the sum of the square root of the number and the other number is 14, what are the numbers?
9. Find the number such that the square root of 8 more than two times the number is 4.
10. A number is increased by two. The square root of this result less the square root of the half of a
number is 3. What is the number?
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Answers & Comments
Answer:
B. Directions: Solve each of the following. Show your solution and write your answer in simplified radical
form to a separate sheet of paper.
1. A rectangular field is 125 yards long and the length of one diagonal of the field is 150 yards. What
is the width of the field?
2. If the length of a rectangle is 15 cm and its width is 18 cm. Find the length of its diagonal.
3. Town B is 40 miles north and 41 miles west of town A. How far are the two towns?
4. A 21 m ladder stands on a horizontal ground and reaches 12 m up a vertical wall. How far is the
foot of the ladder from the base of the walll?
5. Find the hypotenuse of a right triangle whose legs measures 13 cm and 26 cm respectively.
6. One-fourth of the square root of a number is 4. Find the number.
7. The difference of a square root of a number and 3 is 2. What is the number?
8. A number is 4 more than half the other number. If the sum of the square root of the number and the other number is 14, what are the numbers?
9. Find the number such that the square root of 8 more than two times the number is 4.
10. A number is increased by two. The square root of this result less the square root of the half of a
number is 3. What is the number?