areas of quadrilaterals jessica shim investigations in geometry

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Areas of Quadrilaterals Jessica Shim Investigations in Geometry

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Areas of Quadrilaterals

You try it!What are the areas of the following quadrilaterals?Click on the shapes for the answers.5 in3 in6 in[(4 + 6) / 2 ] x 3 = (10 / 2) x 3= 5 x 3 = 15 in2GO BACK6 in4 in3 inReviewCan you name these quadrilaterals?Click on the shapes to find out the answers.Area of a squareUsing the information you know about finding the area of a rectangle, can you find the area of a square?

Area of a squareThe 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. SoArea of a square = side2

Area of a parallelogramThe area of a parallelogram is base x height, where the height is perpendicular to the base. Area = base x heightWhy do you think the height is perpendicular to the base? Think of the area of a rectangleheightbaseArea of a parallelogramYou can create a rectangle by cutting a parallelogram into two (down the height) and connecting the triangular piece to the other sideheightbaseheightbasewhich is why the area is base x heightArea of a trapezoidWatch 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 in6 in3 in4 in3 inBONUS! How about a triangle?The area of a triangle isArea = (base x height)Why? Hint: think about the area of a rectangleBONUS! How about a triangle?Its 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 in4 inLinks Usedhttps://www.youtube.com/watch?v=U-goOl49wRohttps://www.youtube.com/watch?v=-Bl3FlzbIfE

Youre done! Click on the done button to exit.Done5 in x 3 in = 15 in2GO BACK5 in3 in