Areas of Quadrilaterals Jessica Shim Investigations in Geometry.

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Presentation transcript:

Areas of Quadrilaterals Jessica Shim Investigations in Geometry

Review Can you name these quadrilaterals? Click on the shapes to find out the answers.

Area of a rectangle Watch this video for an explanation of how to find the area of a rectangle

Area of a square Using the information you know about finding the area of a rectangle, can you find the area of a square?

Area of a square The area of the square is base x height, just like the area of a rectangle. However, we know all of the sides are the same. So… Area of a square = side 2

You try it! What are the areas of the following quadrilaterals? Click on the shapes for the answers. 5 in 3 in 6 in

Area of a parallelogram The area of a parallelogram is base x height, where the height is perpendicular to the base. Area = base x height Why do you think the height is perpendicular to the base? Think of the area of a rectangle… height base

Area of a parallelogram You can create a rectangle by cutting a parallelogram into two (down the height) and connecting the triangular piece to the other side… height base height base …which is why the area is base x height

Area of a trapezoid Watch this video for an explanation of how to find the area of a trapezoid

You try it! What are the areas of the following quadrilaterals? Click on the shapes for the answers. 5 in 6 in 3 in 4 in 3 in

BONUS! How about a triangle? The area of a triangle is Area =½ (base x height) Why? Hint: think about the area of a rectangle

BONUS! How about a triangle? It’s because a triangle can be made by cutting a rectangle in half!

You try it! What is the areas of the following triangle? Click on the shapes for the answers. 5 in 4 in

Links Used You’re done! Click on the “done” button to exit. Done

Parallelogram GO BACK

Trapezoid GO BACK

Rectangle GO BACK

Square GO BACK

5 in x 3 in = 15 in 2 GO BACK 5 in 3 in

(6 in) 2 = 6 in x 6 in = 36 in 2 GO BACK 6 in

5 in x 3 in = 15 in 2 GO BACK 5 in 3 in

[(4 + 6) / 2 ] x 3 = (10 / 2) x 3 = 5 x 3 = 15 in 2 GO BACK 6 in 4 in 3 in

(4 x 5) / 2 = 20 / 2 = 10 in 2 GO BACK 5 in 4 in