Area of Quadrilateral Worksheets

Welcome to our Area of Quadrilateral Worksheets page.

Here you will find a range of free printable area sheets, which will help your child to learn to find the areas of a range of different quadrilaterals including parallelograms, trapezoids (or trapeziums if you are in the UK), rectangles and kites.

These sheets are aimed at children of a 6th grade level and up.

Area of Quadrilaterals

On this webpage you will find our range of worksheets to help your child to work out the area of a range of triangles and quadrilaterals.

These sheets are graded from easiest to hardest, and each sheet comes complete with answers.

Using these sheets will help your child to:

  • understand what area is;
  • know how to find the area of a range of different quadrilaterals;

What is Area?

  • Area is the amount of space that is inside a shape.
  • Because it is an amount of space, it has to be measured in squares.
  • If the shape is measured in cm, then the area would be measured in square cm or cm2
  • If the shape is measured in inches, then the area would be measured in square inches or in2

Area of a Rectangle

area of rectangle image 2

  • To find the area of a rectangle, you simply need to multiply the length by the width.
  • Area of a rectangle = l x w, where l is the length and w is the width.

area of rectangle example

  • In the example above, the area of the rectangle is 9 x 3 = 27 square cm or 27 cm2

Area of a Parallelogram

  • If you are measuring the area of a parallelogram, then the area will be equal to the base multiplied by the perpendicular height.
  • Or Area of a parallelogram = base x (perpendicular) height

Example

example parallelogram 1

  • In the example above, the area of the parallelogram is 8 x 6 = 48 square cm or 48 cm2

Area of a Trapezoid (Trapezium UK)

example trapezoid 2

  • If you are measuring the area of a trapezoid (called a trapezium in the UK) then the area will be ½ x (length of the two parallel sides added together) x height
  • Or Area of a trapezoid = ½ x (length1 + length2) x height

Example

example trapezoid 1

  • In the example above, the area is ½ x (10 + 6) x 7 = 56 square m or 56 m2

Area of a Kite

area of kite image

  • If you are measuring the area of a kite, then you just need to multiply the lengths of the two diagonals.
  • Area of a kite = ½ x p x q (where p and q are the lengths of the two diagonals)

Example

area of kite example 1

  • In the example above, the area is ½ x 7 x 4 = 14 square cm or 14 cm2

Area of 2D Shapes Printable Support Page

Our printable support page has the formulas for the area of common 2d shapes.

Area of Quadrilaterals Worksheets

Area of Rectangles

Area of Trapezoids

Area of Trapeziums (UK)

Trapeziums are 4 sided shapes which have exactly one pair of parallel sides.

They are members of the quadrilateral family because they have 4 sides.

A trapezium in the UK is the same as a US trapezoid.

Area of Quadrilaterals

5th Grade Geometry Worksheets

Here is our selection of 5th grade Geometry worksheets about angles.

The focus on these sheets is angles on a straight line, angles around a point and angles in a triangle.

Area Worksheets (3rd & 4th Grade)

Here is our selection of free printable area worksheets for 3rd and 4th grade.

The sheets are all graded in order from easiest to hardest.

Using these sheets will help your child to:

  • work out the areas of a range of rectangles;
  • find the area of rectilinear shapes.

Perimeter Worksheets

Here is our selection of free printable perimeter worksheets for 3rd and 4th grade.

The sheets are all graded in order from easiest to hardest.

Using these sheets will help your child to:

  • work out the perimeter of a range of rectangles;
  • find the perimeter of rectilinear shapes.

All the math practice worksheets in this section support Elementary Math Benchmarks.

 

How to Print or Save these sheets

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How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

 

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.


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