Area & Perimeter Learning Objectives: 1.Learn to find perimeter and area of simple & compound/composite shapes. 2.Practice solving problems involving area.

Slides:

Advertisements

Similar presentations

Yes you do need to write this.

Advertisements

Area of Common Shapes.

Formulas LinesApplicationPrismsMixed Bag Team 1Team.

Congruence and Similarity

Today, I will learn the formula for finding the area of a rectangle.

Parallelograms, Trapezoids and Triangles Section

Area of Rectangles, Squares, Parallelograms, Triangles, and Trapezoids.

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.

Area of Quadrilaterals

Divide each side by 2. Write original equation. Write 3x + 2y = 8 so that y is a function of x. EXAMPLE 2 Rewrite an equation Subtract 3x from each side.

SOLVING LINEAR EQUATIONS. Example 1 Solve take 3 from both sides divide both sides by 2.

Area and Perimeter.

© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 9-3 Perimeter, Area, and Circumference.

Area of shapes © T Madas.

EVERYTHING YOU NEED TO KNOW TO GET A GRADE C

Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm

Bell Work Find the area of each figure. 5 in 9 in 13 in 6 in 16 in 22 in 10 in A = (13 + 9) 5 A = 11 5 A = (22) 5 A = 55 in² A = ( ) 10 A =

CHAPTER 23 Quadrilaterals. Special Quadrilaterals 1. Square a) All sides are the same length b) All angles are the same size (90°) c) Its diagonals bisect.

Areas of Parallelograms and Triangles

Area of a Parallelograms and Triangles

Rectangle The area of a rectangle is by multiplying length and height. The perimeter of a rectangle is the distance around the outside of the rectangle.

= (2 in) · (2 in) = 4 in 2. P = a + b + c A = ½(8*8) A = 32 P = =20.

Math Homework No Homework Individuals: Clear your desk! Wednesday, April 1 st.

What is area? The amount of space that a figure encloses

Section aFind the area of a rectangle and a square. bFind the area of a parallelogram, a triangle, and a trapezoid. cSolve applied problems involving.

Perimeter & Area Lessons 19 & 20.

The distance around an enclosed shape is called the perimeter. The amount of space enclosed inside a shape is called the area.

Perimeter Of Shapes. 8cm 2cm 5cm 3cm A1 A2 16m 12m 10m 12cm 7cm.

What is area? The amount of space that a figure encloses The number of square units that covers a shape or figure. It is two-dimensional It is always.

Area and Volume Using formulae. Finding Area and Perimeter of a Square or Rectangle Area is the measure of the amount of space a shape covers Perimeter.

Area of Squares, Rectangles, Parallelograms, and Triangles.

Changing Dimensions What’s the effect on Perimeter and Area??

AREA Remember: The perimeter of a shape is a measure of distance around the outside. The area of a shape is a measure of the surface/space contained within.

Perimeter and Area of Rectangles, Squares, and Triangles

Areas and Perimeter of Rectangles, Square, Triangles and Circles

Perimeter - the distance around a figure 6 cm 4 cm You can find the perimeter of any polygon by adding the lengths of all its sides. 4 cm + 4 cm + 6 cm.

Area & Perimeter. SHAPE OVERVIEW Rectangle Triangle Hexagon Trapezoid Square Parallelogram Pentagon Circle.

Perimeter of Rectangles

AREA Remember: The perimeter of a shape is a measure of distance around the outside. The area of a shape is a measure of the surface/space contained.

Area of Plane Shapes Area of Compound Shapes 8 m 2 m 5 m 2 m Not to scale 4 m 3 m ? ? 16 m 2 20 m 2 6 m 2 Area = = 42 m 2.

Area & Perimeter of Triangles. The formula for a triangle can be determined from using parallelograms. Cut a parallelogram in half it forms 2 triangles.

Practice with Perimeter & Area

Area, Circumference & Perimeter

Area of a Right Angled Triangle

Finding the area of parallelograms and trapeziums

Break into Simpler Parts

6.3 Area of a Trapezoid Mme DiMarco.  Learning Goal: use a formula to find the area of a trapezoid Learning Goal.

Area of a Parallelogram. What is a parallelogram? A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in.

Toddrick’s Shape Scrapbook By:Toddrick Newton. The perimeter, P, of a rectangle is given by the formula P = 2(l + w) where l is the length width of the.

Perimeter and Area Formulas.  Perimeter is the distance around an object. It is easily the simplest formula. Simply add up all the sides of the shape,

Copyright © 2014, 2010, 2007 Pearson Education, Inc. Slide 1 Solving Application Problems 3.

Lesson 91 Warm Up Pg. 474.

Area of Rectangles, Squares, Parallelograms, Triangles, and Trapezoids

Area of a Rectangle = base x height

Area of Polygons.

The size of a surface in square units

Area of Triangles.

Area – Learning Outcomes

UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM

Area of Polygons TeacherTwins©2015.

Finding the Area of Rectangles and Parallelograms

Trial and Improvement 100 cm2 Example

Area of Polygons TeacherTwins©2015.

Areas of Quadrilaterals and Triangles

Area & Perimeter.

By- Sabrina,Julianna, and Killian

Area of Plane Shapes.

Presentation transcript:

Area & Perimeter Learning Objectives: 1.Learn to find perimeter and area of simple & compound/composite shapes. 2.Practice solving problems involving area and perimeter. 3.Review Percentages, Fractions and Decimals Keywords: Perimeter, Area, Parallelogram, Trapezium, Perpendicular 15/03/2011

Area of a rectangle Width Length Area of a rectangle = length x width

Area of a Parallelogram A parallelogram has an area equal to a rectangle with the same base and height measurements: Therefore: Area of a parallelogram = base × (perpendicular) height.

Example Find the area of this parallelogram- Solution: To find the area, we need two measurements that are perpendicular to each other. Here we see that the base is 6.8 cm and the height is 4.3 cm. So area = 6.8 × 4.3 = cm 2.

Area of a Triangle A triangle has an area that is half the area of the surrounding rectangle: So: Area of a triangle = ½ × base × height or area =

Example Find the area of the triangle shown: Solution: Area =

Area of a Trapezium The formula for finding the area of a trapezium is: Area = In this formula, a and b represent the lengths of the parallel sides and h represents the height of the trapezium. Instead of using the formula, some people prefer to remember the steps involved in finding the area of a trapezium: Step 1: Add together the parallel sides Step 2: Multiply by the height Step 3: Divide by 2. a b h

Solution: Using the formula: So: (working out the value of the brackets) So: Example Find the area of the trapezium shown below: or using the steps: Step 1: Add together the parallels sides = 30 Step 2: Multiply by the height: 30 × 6.5 = 195 Step 3: Divide by 2: 195 ÷ 2 = 97.5 cm 2.

Plenary Work in pairs of groups of 3: Q1 2 squares are joined together to form a rectangle. The area of the rectangle is 72cm 2. Find the area of each square and the perimeter of the rectangle. Q2 3 triangles are joined to form a compound shape which is made up of a square with a triangle on top. The area of triangle is 8cm 2. Find the perimeter of the compound shape. Q3 A square is cut from a larger square. The area of smaller square is 9cm 2. The ratio of length smaller square to larger square is 4 : 1. Find the area of larger square before it was cut from.