Solve Quadratic Equation Worksheet

**Page 1**

1.

Find the number whose square increased by 32 is 12 times the number.

a. | 8, 10 | ||

b. | 5, 8 | ||

c. | - 8, - 4 | ||

d. | 8, 4 |

Correct answer : (4)

2.

The sum of the areas of two squares is 1877 cm^{2} . Side of the bigger square is 27 cm longer than a side of the smaller square. Find the length of a side of the smaller square.

a. | 8 cm | ||

b. | 27 cm | ||

c. | 14 cm | ||

d. | 43.01cm |

Correct answer : (3)

3.

The area (in square meters) of a square is 357 m greater than its perimeter (in meters). Find the length of a side of the square.

a. | 21 m | ||

b. | 17 m | ||

c. | 89.25 m | ||

d. | 21 m or - 17 m |

Correct answer : (1)

4.

The product of two consecutive even integers is 624. Find the integers.

a. | even integers are not possible | ||

b. | - 26, - 24 or 24, 26 | ||

c. | - 26, -28 or 22, 24 | ||

d. | 120, 504 |

Correct answer : (2)

5.

Danielle is making changes to a square shaped flower bed. She doubled the lengths of two opposite sides of the square flower bed and increased the length of the other two sides by 2 ft . If the area of the original square bed is 285 ${ft}^{2}$ lesser than that of the new rectangular one. What was the length of the side of the original square?

a. | 140.5 ft | ||

b. | 281 ft | ||

c. | 19 ft | ||

d. | 15 ft |

Correct answer : (4)

6.

The area of a rectangular book is 684 square centimeters, its dimensions are $a$ and $a$ + 20. Find the length and width of the book.

a. | 20 cm, 40 cm | ||

b. | 18 cm, 38 cm | ||

c. | 19 cm, 39 cm | ||

d. | 17 cm, 37 cm |

Correct answer : (2)

7.

The monitor screen of a computer is rectangular in shape, its dimensions are $a$ and $a$ + 26. Find the dimensions of the monitor, if its area is 87 square inches.

a. | 5 in. and 31 in. | ||

b. | 4 in. and 30 in. | ||

c. | 2 in. and 28 in. | ||

d. | 3 in. and 29 in. |

Correct answer : (4)

8.

A rectangular fountain in a park has dimensions of $a$ and $a$ + 16. If the area of the fountain is 260 square meters, find the dimensions of the fountain, in meters.

a. | 12, 28 | ||

b. | 11, 27 | ||

c. | 13, 29 | ||

d. | 10, 26 |

Correct answer : (4)

9.

A rectangular carpet measures $a$ feet long and ($a$ - 8) feet wide. What are the dimensions of the carpet, if its area is 20 square feet?

a. | 10 feet by 2 feet | ||

b. | 12 feet by 4 feet | ||

c. | 11 feet by 3 feet | ||

d. | 9 feet by 1 feet |

Correct answer : (1)

10.

The notice board of a school measures $a$ feet wide and ($a$ - 4) feet long. What are the dimensions of the board, if its area is 21 square feet?

a. | 8 feet by 4 feet | ||

b. | 6 feet by 2 feet | ||

c. | 9 feet by 5 feet | ||

d. | 7 feet by 3 feet |

Correct answer : (4)