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6.G.1 Perimeter and Area of Rectangles, Squares and Triangles

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Warm Up What do you already know? List the formulas for perimeter or area for the following polygons?

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Polygon Activity On the graph paper provided, complete the following steps: 1.Using a ruler, draw the x and y- axis of a coordinate plane on your graph paper. 2.Draw three polygons on your graph paper, in any quadrant– a square, a rectangle and a right triangle (be sure that the height of each polygon is at least 6 units). 3.Label the coordinate points (x, y) for each point of your polygons.

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Finding Perimeter Find the perimeter of each of your three polygons units. (You may use a second piece of graph paper to measure the number of units when a polygon’s side does not match the lines on the graph paper.) Find the length of sides in two ways: – Count the number of square units – Use a formula for distance when applicable

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Formulas Perimeter – the distance around the outside of the polygon – Perimeter of a rectangle p = 2 l + 2w or p = 2( l +w) Area – Of a Square/Rectangle = length x width A = lw or A = bh – Of a triangle = (base x height) ÷ 2 or

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Base & Height What is the base of a triangle? The base must form a right angle with the height. How do we decide which measures are the base and the height? The two measures that form a right angle on or in the polygon.

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Parallelograms On the graph paper provided, complete the following steps: 1.Using a ruler, draw the x and y- axis of a coordinate plane on your graph paper. 2.Draw the quadrilateral with the following vertices: (1,7), (7,7), (10,2), (4,2). Use a straight edge to connect the points. 3.Carefully cut out your figure and see if you can find the area in square units.

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Did anything about your figure change? Were there things that stayed the same? Can we put that information into a formula to find the area of any parallelogram? Area of a Parallelogram: A = bh

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Warm Up What is the formula for the area of a parallelogram? Complete Igor #2 and #6 for area. Draw the figure in your journal.

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Skill Check All lengths are listed in cm. Show correct UNITS!!!!!! 1.Find the perimeter and area of the parallelogram. 2.Find the perimeter and area of the triangle. 6 6 6 7 10 8 12

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Review of Area 1. What is the formula for the area of each of the following: Square Rectangle Triangle 2. Draw a parallelogram. – What is the formula for its area?

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