# Area of parallelograms

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## Lesson details

### Key learning points

- In this lesson, we will learn to calculate the area of parallelograms by rearranging rectangles and we will arrive at a formula for the area of a parallelogram.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Fill in the gap: Rectilinear shapes are polygons where all sides meet at a __________________.

obtuse angle

rectangles

vertex

Q2.

Fill in the gap: We can find the area of rectilinear shapes by splitting the shape into two or more _________________.

obtuse angles

right-angles

vertices

Q3.

Fill in the gap: One way in which the shape could be split is shown. The area of this shape can be calculated by the following calculation: 12 × ___ + 6 × 7

12

6

7

Q4.

What is the area of this rectilinear shape?

132 cm²

42 cm²

60 cm²

Q5.

Find the area (A) and perimeter (P) of this rectilinear shape.

A = 143 cm², P = 48 cm

A = 48 cm², P = 80 cm

A = 80 cm², P = 80 cm

### 5 Questions

Q1.

Fill in the gaps, in the correct order: The area of a parallelogram is equivalent to the area of a ____________ with the same width and _______________ height.

rectangle, slant

triangle, perpendicular

triangle, slant

Q2.

Find the area of this parallelogram.

16 cm

16 cm²

32 cm²

Q3.

Find the area of this parallelogram.

145 cm²

25 cm

50 cm

Q4.

Find the area of this parallelogram.

672 m²

84 m²

96 m²

Q5.

Find the area of this parallelogram.

0.375 m²

3.375 m²

6.75 m²