6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles.

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Presentation transcript:

6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems

 The area of a parallelogram is 52 cm 2 and the height is 13 cm. What is the base of the parallelogram?  A square backyard has an area of 144 square feet. What is the length of a side of the backyard?

Area of a Triangle Let's use the same process as we did for the rectangle & parallelogram. How many 1 ft 2 tiles fit across the bottom of the triangle?

Area of a Triangle If we continue to build the triangle with rows of thirteen 1 ft 2 tiles what happens? How tall is the triangle? How can you tell?

Is this true for all triangles? Let's see! Calculating base(height) results in 2 triangles!

The Area (A) of a triangle is found by using the formula: Note: The base & height always form a right angle!

Example. Find the area of the figure. 8 cm 11 cm click to reveal

Try These. Find the area of the figures. 13 ft 11 ft 10 ft12 ft click to reveal

Find the area. 8 in 6 in 10 in 9 in

Find the area 14 m 9 m 10 m 12 m

Find the area 7 cm. 8 cm cm

Find the area 10 in. 6 in. 14 in. 5 in.

 Connect 3: How are the area formulas for triangles, rectangles, and parallelograms related?