G-06 Perimeter and Area I can find the perimeter and area of plane and coordinate quadrilaterals.

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Presentation transcript:

G-06 Perimeter and Area I can find the perimeter and area of plane and coordinate quadrilaterals.

Definitions The perimeter (P) of a plane figure is the sum of the side lengths of the figure. The area (A) of a plane figure is the number of non-overlapping square units of a given size that exactly cover the figure.

DON’T FORGET THE UNITS Perimeter is expressed in linear units, such as inches (in.) or meters (m). Area is expressed in square units, such as square centimeters (cm 2 ). If units are NOT provided, write (units) for perimeter and (units 2 ) for area.

Example 1 (rectangle) a. Find the perimeter and area of each figure. P: A:

Example 1 (rectangle) b. Find the perimeter and area of a rectangle when L = 17 in and W = 2 in. P: A:

Example 1 (rectangle) c. Find the perimeter and area of each figure. P: A:

Example 1 (rectangle) d. Find the perimeter and area of a rectangle when L = (3x) and W = (2x – 10). P: A:

Example 1 (rectangle) e. Find the perimeter and area of a rectangle when L = (4x) and W = (4x 2 – 3x + 7). P: A:

Example 1: Find Perimeter and Area f. For rectangle ABCD. A(-2, 2), B(3, 2), C(3, -1), D(-2, -1) P: A:

Example 1: Find Perimeter and Area g. For rectangle MNPQ. M(-2, 5), N(5, 5), P(5, -4), Q(-2, -4) P: A:

Example 2 (parallelogram) a. Find the perimeter and area of each figure. P: A:

Example 2 (parallelogram) b. Find the perimeter and area of each figure. P: A:

Example 2: Find Perimeter and Area c. Parallelogram ABCD, A(-2, 2) B(3, 2) C(2, -1) D(-3, -1) P: A:

Example 2: Find Perimeter and Area d. Parallelogram EFGH, E(-4, 2), F(-1, 6), G(5, 6), H(2, 2) P: A:

Exit slip: Find Perimeter and Area d. Parallelogram EFGH, E(-5, 0), F(-3, 3), G(3, 3), H(1, 0) P: A:

Example 3 (square) a. Find the perimeter and area of each figure. P: A:

Example 3 b. Find the perimeter and area of a square with s = 3.5 in. P:A:

Example 3 (square) c. Find the perimeter and area of each figure. P: A:

Example 3 d. Find the perimeter and area of a square with s = (3x + 2). P:A:

Example 3 e. Find the perimeter and area of a square with s = (x - 10) mi. P:A:

Example 4 (Rhombus) a. Find the perimeter and area of each figure. P: A:

Example 4 b. Find the perimeter and area of a rhombus with s = 11 ft., d 1 = 9 ft., d 2 = 7.5 ft. P:A:

Example 4 c. Find the perimeter and area of a rhombus with s = 14 yd., d 1 = 11.2 yd., d 2 = 8 yd. P:A:

Example 4 (Rhombus) d. Find the perimeter and area of each figure. P: A:

Example 5 (trapezoid) a. Find the perimeter and area of each figure. P: A:

Example 5 (trapezoid) b. Find the perimeter and area of each figure. P: A: