**Square = Flat Shape with Four Equal Sides (with four right angles)**

**
Basics
**s = Side

P = Perimeter = distance along sides of square

A = Area = area covering surface of square (measured in square units)

Right Angle = 90°

A square has four right angles.

The opposite sides of a square are parallel.

A square is a special form of a parallelogram in which all angles are right angles and all sides are equal.

The math involving the *geometric* square often requires the calculation of *arithmetic* squares and square roots.

is the squaring command.

is the square root command.

activates above .

Formulas (provided by **Formula Sheet**)

P = 4s

A = s²

Formulas (NOT provided by **Formula Sheet**)

s = P ÷ 4

s = √A

**
Question
**The side of a square postage stamp is 2.5 centimeters. What is its perimeter?

**Answer
**10 centimeters

**Answer Process**

P = 4s

P = 4 × 2.5 = 10

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

4 × 2.5 | 4*2.5 | P = 4s |

10 | Answer | |

## Square |

**
Question
**The side of a square postage stamp is 2.5 centimeters. What is its area?

**Answer
**6.25 square centimeters

**Answer Process**

A = s²

A = 2.5² = 6.25

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

2.5 | 2.5² | A = s² |

6.25 | Answer | |

## Square |

**
Question
**The perimeter of a square postage stamp is 14 centimeters. How long is its side?

**Answer
**3.5 centimeters

**Answer Process**

s = P ÷ 4

s = 14 ÷ 4 = 3.5

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

14 ÷ 4 | 14÷4 | s = P ÷ 4 |

3.5 | Answer | |

## Square |

**
Question
**The area of a square postage stamp is 13.69 square centimeters. How long is its side?

**Answer
**3.7 centimeters

**Answer Process**

s = √A

s = √13.69 = 3.7

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

13.69 | √13.69 | s = √A |

3.7 | Answer | |

## Square |

**
Question
**The perimeter of a square postage stamp is 18.2 centimeters. What is its area?

**Answer
**20.7025 square centimeters

**Answer Process**

s = P ÷ 4

s = 18.2 ÷ 4 = 4.55

A = s²

A = 4.55² = 20.7025

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

18.2 ÷ 4 | 18.2÷4 | s = P ÷ 4 |

4.55 | s | |

4.55 | 4.55² | A = s² |

20.7025 | Answer | |

## Square |

**
Question
**The area of a square postage stamp is 7.29 square centimeters. What is its perimeter?

**Answer
**10.8 centimeters

**Answer Process**

s = √A

s = √7.29 = 2.7

P = 4s

P = 4 × 2.7 = 10.8

Calculator Click |
What You See |
Comment |

blinker | clears screen | |

7.29 | √7.29 | s = √A |

2.7 | s | |

4 × 2.7 | 4*2.7 | P = 4s |

10.8 | Answer | |

## Square |

**
Practice – Questions
**1. The side of a square tile is 6 inches. What is its perimeter?

2. The side of a square tile is 6 inches. What is its area?

3. The perimeter of a square tile is 49.6 inches. What is its area?

4. The area of a square tile is 128.5956 square inches. What is its perimeter?

5. With reference to Question 4, round your answer to the nearest tenth.

**
Practice – Answers
**1. 24 inches

2. 36 square inches

3. 153.76 square inches

4. 45.36 inches

5. 45.4 inches (rounding)