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Area of a Parallelogram

Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 40 of 61.

To use base × height, find a base and a height that go together: the height must be drawn at right angles to the line of that base, with the square mark at its foot. Any other side is a distractor for the area.

$Parallelogram with base 15, slanted side 13 and the dashed height 5$

Here the base AB is 15 and the height DE is 5, with the square at E. The area is 15 × 5 = 75. The side AD is 13, but it leans, so it does not measure how far apart the parallel sides are. Pick Area of a parallelogram and the board takes the base and the height.

Challenge

ABCD is a parallelogram with base AB = 9, slanted side AD = 5 and the dashed height DE = 4. Find its area, then press Check.

Try it yourself

$Find the marked part of the figure$

Find the marked part of the figure

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Polygons & Quadrilaterals

2Regular Polygons

Regular Polygons From an Angle to the Sides Inside a Regular Polygon Recap: Regular Polygons

5Rectangles, Rhombi, Squares

Rectangles The Diagonal of a Rectangle Rhombus Angles Squares Recap: Special Parallelograms

8Area of Parallelograms

Area of a Rectangle A Side from the Area Slide the TopArea of a ParallelogramRecap: Parallelogram Area

11Polygon Chases

Parallel Sides in a Pentagon Marks, Not Looks Pentagon with x Regular Shapes Together Recap: Polygon Chases