# Calculate Areas: Parallelograms

In this worksheet, students must calculate the areas of the given parallelograms.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   2D Shapes: Triangles, Quadrilaterals and Polygons

Difficulty level:

#### Worksheet Overview

Use the following formula to work out the area of a rectangle:

We must know:

• the base length
• the perpendicular height from the base to the top.

Area of rectangle = base × height

Now, try this with a piece of paper.

Cut off a right-angled triangle from the left-hand side and separate the two pieces.

The area of the two pieces together will be the same as the original rectangle.

Move the right-angled triangle over to the right-hand side.

The area still hasn't changed.

Join the two pieces to form a parallelogram.

The area of this parallelogram is the same as the original rectangle.

Area of Parallelograms

We must know:

• the base length
• the perpendicular height from the base to the top. (NOT the slant height)

Area of parallelogram = base × height

Example

Calculate the area of this parallelogram in cm2.

To calculate th area, we must know:

• the base length
• the perpendicular height from the base to the top. (NOT the slant height)

The base length is 10 cm.

The slant height is 7 cm, which we do not need.

The perpendicular height is 6 cm.

Area = Base × Height = 10 × 6 = 60 cm2

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