Rectangles

A polygon is a closed figure formed by a finite number of line segments.

quadrilateral is a polygon that has four sides, four vertices, and four angles.

parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

A rectangle has all the properties of a parallelogram.

  • Opposite sides are parallel.
  • Opposite sides are congruent (equal).
  • Opposite angles are congruent (equal).
  • Consecutive angles are supplementary (two angles that make up 180º).
  • Diagonals bisect each other.

 

Squares and Rectangles

A rectangle is a quadrilateral with four right angles. Rectangle means “right angle“. In a rectangle, opposite sides are the same length (congruent).

Properties:

  • All angles are a right angle (congruent).
  • Each pair of adjacent sides is perpendicular (at an angle of 90°)
  • Opposite sides are congruent (the same length).
  • Opposite sides are parallel.
  • The diagonals are congruent (the same length).
  • Diagonals bisect each other

Square

A square is a regular quadrilateral (four equal sides and four equal angles [90º]).  The square is a rectangle whose length and width are equal.

The area is the total surface of a shape (the number of square units needed to cover the surface).

To find the area of a square, multiply the length of one side by itself (squaring the side length).

Area of a square = (side × side) square units

The perimeter of a two-dimensional shape is the sum of the length of its sides. 

The perimeter of a square = 4 × length of a side.

 

 

GE01 Perimeter and Area of a Square 1

GE02 Area and Perimeter of a Square 2

GE03 Area and Perimeter of a Square 2

SQ08 Perimeter of a square given the side length

SQ09 Finding the length of each side a square from the perimeter

SQ10 Area of a square given the side length

SQ11 Find the side lengths of a square given its area

SQ12 Finding the area of a square from the perimeter

SQ13 Find the perimeter of a square given its area

Rectangle

 

A rectangle is a plane figure with four sides and four right angles.

The area is the total surface of the shape (the number of square units needed to cover its surface).

 

The area if the rectangle is equal to its length multiplied by its width (A = L ˣ  W),
The perimeter of a rectangle is the total distance around the outside of the rectangle

Perimeter of a rectangle =  2(length + width) units

P=2(L+W) 

GE04  Area and Perimeter of a Rectangle

AR34 Area and Perimeter of Rectangles Word Problems

GE06 Area and Perimeter of a Rectangle With Decimal

GE05 Area and Perimeter of a Rectangle

GE07 Length and With of a Rectangle Given Area

GE08 Length and With of a Rectangle Given Perimeter