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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
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Outcomes

MA.6.GR.2.2

Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles.

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