Areas of Quadrilaterals Jessica Shim Investigations in Geometry

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. 3 in 5 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 base Why do you think the height is perpendicular to the base? Think of the area of a rectangle…

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 …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. 4 in 3 in 5 in 6 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. 4 in 5 in

Links Used Done https: //www. youtube. com/watch? v=U-go. Ol 49 w. Ro https: //www. youtube. com/watch? v=-Bl 3 Flzb. If. E You’re done! Click on the “done” button to exit.

Parallelogram GO BACK

Trapezoid GO BACK

Rectangle GO BACK

Square GO BACK

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

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

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

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

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