Area of Parallelogram Worksheet

On this webpage you will find our range of worksheets to help your child learn to work out the area of a different parallelograms.

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 parallelograms in different orientations;
• solve word problems involving area of parallelograms;

• Area is a measure of the amount of space inside a shape.
• It is measured in squares, so it can be square inches (in²), square cm (cm²), square feet(ft²), etc.

This calculator finds the area of a parellelogram when the base length and perpendicular height is known.

Area of a Parallelogram Example 1

Find the area of the parallelogram below.

The area of a parallelogram is: \[ A = b \cdot h \]

Where b is the base of the parallelogram and h is the perpendicular height.

If we substitute the values of the base and height into this equation, we get: \[ A = 9 \cdot 6 = 54 \]

So the area of parallelogram is 54 cm².

Area of a Parallelogram Example 2

Find the area of the parallelogram below.

The area of a parallelogram is: \[ A = b \cdot h \]

Where b is the base of the parallelogram and h is the perpendicular height.

If we substitute the values of the base and height into this equation, we get: \[ A = 3 \cdot 10 {1 \over 2} = 31 {1 \over 2} \]

So the area of parallelogram is 31.5 in².

Area of a Parallelogram Example 3

Find the area of the parallelogram below.

The area of a parallelogram is: \[ A = b \cdot h \]

Where b is the base of the parallelogram and h is the perpendicular height.

The parallelogram has 3 measurements - we only need two of them.

The base of the parallelogram is 3.4 cm and the perpendicular height is 2.5 cm.

If we substitute the values of the base and height into this equation, we get: \[ A = 3.4 \cdot 2.5 = 8.5 \]

So the area of parallelogram is 8.5 cm².

Area of a Parallelogram Example 4

Find the area and perimeter of the parallelogram below.

The area of a parallelogram is: \[ A = b \cdot h \]

Where b is the base of the parallelogram and h is the perpendicular height.

The parallelogram is tilted on its side and has 3 measurements - we only need two of them.

If we rotate the parallelogram a quarter-turn anticlockwise, this gives us a base of 12 cm and a perpendicular height of 16 cm.

If we substitute the values of the base and height into this equation, we get: \[ A = 12 \cdot 16 = 192 \]

The perimeter of the parallelogram is the distance all the way around the edge which is equal to: \[ P = 2 \cdot 12 + 2 \cdot 20 = 24 + 40 = 64 \]

So the area of parallelogram is 192 cm² and the perimeter is 64 cm.

We have a range of other area worksheets and support pages for a range of different 2d shapes.

Here is our selection of free printable perimeter worksheets for 3rd and up.

Using these sheets will help your child to find the perimeter of a range of shapes including rectangles, rectilinear shapes, circles, quadrilaterals and regular shapes.

We have a range of area and volume calculators to help you find the area and volumes of a range of different 2d and 3d shapes.

Each calculator page comes with worked examples, formulas and practice worksheets.

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.