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Published byHerbert Ward Modified over 8 years ago

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**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 answered in square units

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Area of a square S is the side Area= side x side A= s x s

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**Find the area of a square using the formula**

To find the area of a square, multiply the side x side Area = side x side Area = 3 m x 3 m The area is 9 m2 3 m 3 m

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**Area of a rectangle b is the base h is the height Area= base x height**

A= b x h You may also see this as A = l x w (Area = length x width)

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**Find the area of the rectangle using the formula**

To find the area of a rectangle, multiply the length x width. Area= length x width The length= 6 m The width=2 m Area=6 x 2 The area is 12 m2 6 m 2 m

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**Area of a triangle B is the base H is the height**

Area= ½ x base x height A= ½ x b x h

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**Find the area of the triangle using the formula**

Area = 1/2 x base x height A= 1/2 x b x h A= 1/2 x 8 x 5m A= 1/2 x 40 square meters A= 20 square meters The area is 20 m2 5 m 8 m

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**Area of a parallelogram**

Do Re Mi b is the base h is the height Area= base x height A= b x h

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**Find the area of parallelogram using the formula**

Area = base x height A= b x h A= 4 x 3 A= 12 square units The area is 12 units2

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**What is the area of this figure?**

It is a square Formula for the area of a square is side x side Side= 17 m Area= 17 x 17 A= 289 m2 17 m. 17 m

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**What is the area of this figure?**

It is a triangle Formula for the area of a triangle is A = ½ x base x height 4 cm 13 cm Base= 13 cm Side= 4 cm Area= ½ x 13 x 4 A= 26 cm2

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**What is the area of this figure?**

It is a parallelogram Formula for the area of a parallelogram is A = base x height Base= 3 units Height= 6 units Area= 6 x 3 A= 18 units2

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**What is the area of this figure?**

It is a rectangle Formula for the area of a rectangle is length x width Length= 8m Width= 3 m Area= 8 x 3 A=24 m2 8 m 3 m

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**What is the area of this figure?**

It is a square Formula for the area of a square is side x side Side= 12 cm Area= 12 x 12 A= 144cm2 12 cm 12 cm

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**What is the area of this figure?**

It is a triangle Formula for the area of a triangle is ½ x base x height Base= 8 m Side= 5 m Area= ½ x 8m x 5 m A=20 m2 5 m 8 m

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**What is the area of this figure?**

It is a parallelogram Formula for the area of a parallelogram is A = base x height Base= 5 units Height= 5 units Area= 5 x 5 A= 25 units2

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**What is the area of this figure?**

It is a rectangle Formula for the area of a rectangle is A = length x width Length= 13 cm Width= 4 cm Area= 13 x 4 A= 52 cm2 13 cm 4 cm

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**What is the area of this figure?**

7 cm It is a rectangle Formula for the area of a rectangle is A = length x width Length= 16 cm Width= 7 cm 16 cm Area= 16 x 7 A= 112 cm2

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**Do you remember the formula for the area of a circle?**

For a circle, the area is: A = Πr2 = Π x 52 =78.54 cm2

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**What about unusual / composite shapes?**

This shape can be divided into two rectangles. Find their areas and add them together. Area 2= l x b = 4 x 6 = 24 cm2 Area 1= l x b = 8 x 20 = 160 cm2 Total area = A1 + A2 = =184 cm2

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**In this case, a measurement needs to be found before you begin.**

Try another one: In this case, a measurement needs to be found before you begin. 7 m A2 = 15 x 7 =105 cm2 A1 = 5 x 8 =40cm2 Total area = A1 + A2 = = 145 cm2

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**What did you learn? What is area?**

How are the units of area usually expressed? How many dimensions is area? What does the “S” mean in the formula for the area of a square? What is the formula for the area of a square? What is the formula for the area of a rectangle? What does the “h” stand for in the formula for the area of a triangle?

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**More… What is the formula for the area of a parallelogram?**

What does the “b” stand for in the formula for the area of a triangle? What does the “h” stand for in the formula for the area of a rectangle? What is the formula for the area of a rectangle? What are the four formulas we have learned today?

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**Closure: Remember Formulas!**

Square: A = s x s Rectangle : A = b x h Triangle: A = ½ x b x h Parallelogram: A= b x h Circle: A = π x r2

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