Square

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

square


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.

square is the squaring command.

2nd square root is the square root command.
2nd activates square root above square .


Formulas (provided by Mathematics Formula Sheet)

P = 
4s
A = s²


Formulas (NOT provided by Mathematics 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
clear blinker clears screen
4 × 2.5 4*2.5 P = 4s
enter 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
clear blinker clears screen
2.5 square 2.5² A = s²
enter 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
clear blinker clears screen
14 ÷ 4 14÷4 s = P ÷ 4
enter 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
clear blinker clears screen
2nd square root 13.69 13.69 s = A
enter 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
clear blinker clears screen
18.2 ÷ 4 18.2÷4 s = P ÷ 4
enter 4.55 s
4.55 square 4.55² A = s²
enter 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
clear blinker clears screen
2nd square root 7.29 7.29 s = A
enter 2.7 s
4 × 2.7 4*2.7 P = 4s
enter 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)

This entry was posted in (5) Geometry, (III) Mathematical Reasoning and tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

Leave a Reply