6. Geometry

6.01 Area of triangles

6.02 Area of special quadrilaterals

6.03 Area of composite shapes

6.04 Nets of solids

Investigation: Surface area using nets

Investigation: Develop the formula for volume of a rectangular prism

6.05 Volume of rectangular prisms

United States of America NC

Grade 6

6.02 Area of special quadrilaterals

Interactive practice questions

Consider the following parallelogram.

A parallelogram is depicted with a base labeled as $10$ $cm$ and a vertical height marked as $6$ $cm$ , indicated by a dashed line. The height is drawn perpendicular to the base, forming a shaded right triangle, which is denoted by a square at the intersection of the height and the base. There are double arrows on two opposing bases, suggesting congruency.

a

If the parallelogram was cut and reformed into the shape of a rectangle, what would the length and width of that rectangle be?

Length:	$\editable{}$ $cm$
Width:	$\editable{}$ $cm$

b

Therefore find the area of the parallelogram.

Easy

1min

By rearranging the parallelogram into a rectangle, find its area.

Easy

< 1min

If this parallelogram is cut along the dotted line, the pieces can be rearranged to form a rectangle:

Easy

1min

Consider the rhombus shown on the left:

Easy

1min

Outcomes

NC.6.G.1

Create geometric models to solve real-world and mathematical problems to: • Find the area of triangles by composing into rectangles and decomposing into right triangles. • Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.

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