2 Rectangle: A shape that has 2 sides that are the same length and has four sides. Thank You. Triangles Trapezoids Now, Let's Learn How to Find Area and Perimeter! Rectangles Triangles are shapes with 3 sides and all of its angles add up to 180º. To find the area of a triangle, you must imagine that it is half of a quadrilateral. Just find the area of a rectangle how you normally would; by multiplying one side by another. When you are done multiplying, Remember that a triangle is only half of a quadrilateral, so we have to divide it by 2. Formula (area): length x height& Base x height Area of the rectangle: 13cm x 5cm= 65cm

Area of the triangle: (2cm x 5cm)/2= 5cm

2 triangles= 5cm x 2= 10cm

Formula (perimeter): add all the sides together

4cm + 15cm + 4cm + 15cm= 38 cm Formulas Area base x height ÷ 2 Kwon Neung Lee Perimeter Kwon Formulas Area length x width Formulas all sides added together Perimeter 2(length + width) Case #1 10cm 20cm Find the area and perimeter of this rectangle. The answer is... Formula (area): length x height

Area = 20cm x 10cm

= 200cm .......... What is area? what is perimeter? ........... Perimeter measures the distance around a figure or shape. Area measures the space of that a figure or shape has.

It is the size of a surface. New

Vocabularies Base: The bottom of a shape Triangle: A shape with three sides and has an angle sum of 180 degrees Area and Perimeter By: The Loudest Table in 8.2 Math To start off... But We're not done yet (; 9cm 6cm 15cm Find the area and perimeter of this trapezoid! Parallelogram WHY AND HOW? WHY AND HOW? WHY AND HOW? WHY AND HOW? Quadrilateral: Any shape that has 4 sides Length: The longest side of a

shape Area Width: The side that is the tallest Base x height, then divide by 2 Height: The measurement from base to top Rectangles are shapes with four sides, which explains why it is called a quadrilateral. It also has two sets of parallel lines and its angles are all 90º. To find its area, you must multiply the length by the width. Perimeter All sides add together. Trapezoid (Trapezium): A shape that has two

sides parallel and has 4 sides. Trapezoid is a shape with 4 sides and 1 set of parallel lines. To find the area of a trapezoid, you must imagine that it actually consists of several shapes which can either be triangles, rectangles or squares. After finding the shapes within the trapezoid, you can find the areas of those separate shapes. Once you've gotten the areas of the separate shapes, you can add them up. The sum will be the area of the given trapezoid. A parallelogram is a shape that has two sets of parallel lines. However,this shape unlike rectangles or shape parallelograms don't have 90º angles. To find the area of a parallelogram, you should do something similar to the way you would find the area of a rectangle. You just multiply the length of the shape by the height of the shape. Formulas Area

Base x height 9 square units 6

square units This square has a length of 9 square units and a width of 6 square units. In total, there are 54 small squares on the rectangle. This means the are of the rectangle is 54 square unit. 54 = 6 x 9 area width length THIS PROVES... area = width x length the formula to find the area of a rectangle. Example: 7 length x width = area 10cm x 7cm = 70cm AREA of THE RECTANGLE 2 Formula (perimeter): 2(length + width)

Area = 2(2ocm + 10cm)

= 60cm 10 Case #2 8cm 20cm 24cm 32cm Find the perimeter and area! The answer is... Formula: base x height ÷ 2

Area: 24 x 20 ÷ 2

= 240cm 2 Formula: Add up all sides

Perimeter: 24 + 20 +32

= 76cm Perimeter

Add all sides

together 2 60º 60º 60º Case #3 Case #4 8cm 9cm Find the area and perimeter! the answer is... Area formula: (top + base) x h ÷ 2

Area: (8 + 10) x 6 ÷ 2

= 18 x 6 ÷ 2

= 108 ÷ 2

= 54cm 6cm 5 cm 5 cm Find the Area and the Perimeter! 15 cm Perimeter formula: Add all sides

Perimeter: 8 + 10 + 4 + 4

= 26cm 2 cm The answer is.... 1cm 4cm 4 cm Since two congruent triangles can make up a quadrilateral, a triangle is exactly half of a quadrilateral, right? So, if we multiply the base of the triangle by the height, then we'll get the area of a quadrilateral that the two triangles make up. Divide that in two and you'll get the area of your triangle. Two trapezoids joined together makes a parallelogram. 6cmA p6cmarallelogram can be divided into 3 shapes, two triangles and one rectangle. Since we've learned how to find the area of a triangle and rectangle, you can find the area of two triangles, then the rectangle and then add them all up. So if you want to find the area of a trapezoid, you can draw another one and rotate it so it would make one parallelogram. The formula to find the area of a parallelogram is base x height, so to find the area of a trapezoid, you just do base x height then divided by two because there are two trapezoids in the parallelogram. 2 2 2 The answer is 72cm 2

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