Warm Up Problem Find the area of the trapezoid..

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Warm Up Problem Find the area of the trapezoid.

Polygons on the Coordinate Plane Lesson 9-5

Objectives I can draw polygons on the coordinate plane. I can use coordinates to find perimeter.

Example 1 A rectangle has vertices A(2, 8), B(7, 8), C(7, 5), and D(2, 5). Use the coordinates to find the length of each side. Then find the perimeter of the rectangle. Find the lengths of the sides, which are shown. Add up 5 + 5 + 3 + 3. 16 units.

Example 2 Rectangle ABCD has vertices A(2, 1), B(2, 5), C(4, 5), and D(4, 1). Use the coordinates to find the length of each side. Then find the perimeter of the rectangle. Use graph paper. P = 2 + 2 + 4 + 4 P = 12 units 2 4

Got It? Use the coordinates to find the length of each side. Then find the perimeter of the rectangle. 1) E(3, 6), F(3, 8), G(7, 8), H(7, 6) 2) I(1, 4), J(1, 9), K(8, 9), L(8, 4)

Multiply by 200 to find the total feet. Example 3 Each grid square on the zoo map has a length of 200 feet. Find the total distance, in feet, around the zoo. Find the perimeter. 10 + 7 + 7 + 3 + 3 + 4 + 4 + 4 = 42 units. Multiply by 200 to find the total feet. 42 x 200 = 8,400feet

Got It? 3. The coordinates of the vertices of a garden are (0, 1), (0, 4), (8, 4), and (8, 1). If each unit represents 12 inches, find the perimeter in inches of the garden.

Example 4 Find the area of the figure in square units. The figure can be separated into a rectangle and a trapezoid. Area of rectangle: 2 x 5 = 10 units2 Area of trapezoid: (3+4)(2) 2 = 7 units2 Total: 10 + 7 = 17 units2

Got It? 4. Find the area, in square units, of the figure.

Example 5 A figure has vertices A(2, 5), B(2, 8), and C(5, 8). Graph the figure and classify it. Then find the area. B = 3 units H = 3 units A = 3(3) 2 = 9 2 or 4.5 units2 This figure is a triangle.

Got It? 5. Graph the figure and classify it. Then find the area. A(3, 3), B(3, 6), C(5, 6), D(8, 3)