# MODULE VI LET’S GO MEASURE A KITE!

## Presentation on theme: "MODULE VI LET’S GO MEASURE A KITE!"— Presentation transcript:

MODULE VI LET’S GO MEASURE A KITE!

We have already discussed how to find the area of certain parallelograms. Today, we are going to extend that knowledge and learn how to find some new areas.

Again, to find the areas of figures, we must recall their parts. The first figure, we will discuss today is a trapezoid.

Remember: A trapezoid is a figure with exactly one pair of opposite parallel sides. Recall also that the two parallel sides of a trapezoid are called its bases.

The height of a trapezoid is the perpendicular distance between its bases. Now keep in mind, since the other pair of sides cannot be parallel, the bases of a trapezoid CANNOT be equal. So how do we find the area?

In order to find the area of the trapezoid we must find the average of the two bases, then multiply by the height. In short, ½ h(b1 + b2).

And that makes sense…because if I piece two congruent trapezoids together it’s just a parallelogram. And the original trapezoid will make up half the area of that parallelogram. b1 b2 h b2 b1

Like with parallelograms, we can use our knowledge of triangles to discover things about trapezoids. If the figure below is an isosceles trapezoid, then what is its area? 4 cm 5 cm 10 cm

4 cm 5 cm 4 cm 3 cm 10 cm 4 cm 3 cm

So, since the height was 4 cm and the average of the bases was 7 cm, the area of the trapezoid is 28 cm2.

Finding the area of a rhombus or a kite is even easier! Now, since a rhombus is a parallelogram, we can use our old method of base times height. Or we can use this new method…

The area of both a rhombus and a kite is represented by A = ½ d1d2 d represent diagonals. d1 d2

The method is the same for a kite.