Area of Triangles and Quadrilaterals

Welcome to the Math Salamanders Math Practice 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 triangles and quadrilaterals.

These sheets are aimed at children of a 5th grade level (and possibly 6th grade too).

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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 triangle;
- know how to find the area of a range of different quadrilaterals;

- 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 cm
^{2}

Area of a Triangle

- If you are measuring the area of a triangle, then the area will equal to half of the base multiplied by the perpendicular height.
- Or Area of a triangle = ½ x base x (perpendicular) height.

Example 1

- In the triangle above, the area is ½ x 7 x 4 = 14 square cm or 14 cm
^{2}

Example 2

- In the triangle above, the area is ½ x 8 x 5 = 20 square cm or 20cm
^{2}

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

- In the example above, the area of the parallelogram is 8 x 6 = 48 square cm or 48 cm
^{2}

Area of a Trapezoid (Trapezium UK)

- 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

- In the example above, the area is ½ x (10 + 6) x 7 = 56 square m or 56 m
^{2}

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

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

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.

Using these sheets will help your child to:

- learn how to find a missing angle;
- know that angles inside a right angle must add up to 90°
- know that angles on a straight line must add up to 180°
- know that angles around a point must add up to 360°
- know that angles in a triangle must add up to 180°

All the sheets in this section support Elementary math benchmarks.

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.

Return to 5th Grade Math Worksheets

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Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- List of Geometric Shapes
- Equivalent Fractions
- Printable Shapes
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- Perimeter Worksheets

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