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Presentation on Area

Square, Rectangle and Parallelogram

Area is just counting the squares found inside a figure.

Area is counting the squares found inside the figure. There are 4 squares in this figure. It is for this reason that the area in this figure is 4 square units.

Let’s try this! Remember: Area is counting the squares found inside the figure. There are 36 squares in this figure. It is for this reason that the area of this figure is 36 square units.

Now, formulas are created so we don’t get tired counting the squares. Area = base x height Height Side = 2 Height Width = 4 Base = 2 Side Area = 2 x 2 Area = 4 Square Units Base = 9 Length Area = 9 x 4 Area = 36 Square Units

A=bxh A=6 x 4 A = 24 square units Now, it will be easier to see that if we turn this parallelogram into a rectangle!

We have turned the parallelogram into a rectangle. Now, it is clear that the area is 24 square units.

Try solving the area of the following!

Area = 64 square units 8 10 cm Area = 150 square cm 15 cm 5 ft 4 ft Area = 48 square ft. 12 ft Area = 12 square units

Good job!!! Let’s go to the next!!!

Triangle and Trapezoid

Now, let us derive the formula for the area of a triangle based on the area of this rectangle. Area = base x height 2

A triangle is always half of a parallelogram. By the way, a rectangle is a parallelogram! It is for this reason that the area of a triangle is bxh 2

Try solving the area of the following!

Area = 42 square units 7 12 Area = 27 square units 6 9 Area = 7. 5 square cm 5 cm 3 cm n i 10 11 in Area = 55 square in

Did you know that a trapezoid has the same formula as that of a triangle? Watch this!!! Area = base x height 2

Area = (bbase 1 + b 2) x height 2 Base 1 Height Base 1 Base + Base 2 The the only whole problembase, we have that in a So, is isactually trapezoid, there 1 are 2 bases. the sum of base and base 2.

Try solving the area of the following!

2 Area = 9 square units 3 4 4 Area = 15 square units 3 6 4 yd Area = 21 square yd 3 yd 10 yd 4 ft 2 ft 14 ft Area = 18 square ft

Remember: You have Area is just done a counting squares greata job! inside figure!

The Circle

Some Evenmathematicians for circles, would try to area can be approximate the area bydirectly just ofsolved a circle by counting the squares counting the in it! Watch this! squares inside it!

Let us try to approximate the area of this circle by directly counting the number of squares inside it. Please remember, we are only approximating!

26 25 7 1 2 3 4 5 8 9 6 10 11 12 13 14 15 16 17 18 19 20 21 22 Count with me! 1, 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10, 11, 12 , 13 , 14 , 15 , 16 , 17, 18 , 19 , 20 , 21, 22 , 23 , 24 , 25 , 26 , 27, 28 23 24 28 27

26 25 7 1 2 3 4 5 8 9 10 11 12 So, there about 28 squares in here. So, the area of this circle is approximately 28 square units! That was too much work! Now, let us apply the formula to shorten our task! 6 13 14 15 16 17 18 19 20 21 22 23 24 28 27

radius Height radius Base

radius There about 3 squares with sides equal to the radius, within a circle. radius Area = r x 3. 14 or Area = p r 2

Remember that the area of this figure is about 28 sq. units. Let us apply the formula and see if we are close! A = r x 3. 14 Or A = p r 2

A= 3 r x 3. 14 A = 9 x 3. 14 A = 28. 26 sq. units Well, we are very close! 28. 26 ≈ 28 sq. units

Now, try this!

Use p = 3 2 3 cm 5 in Area = 12 square units Area = 27 square cm Area = 75 square in

Well done!!! Now, let’s try this next challenge!!!

Now, use p = 3. 14 1 2 cm 10 in Area = 3. 14 square units Area = 12. 56 square cm Area = 314 square in

Remember: is just counting I Area hope you have squares inside a figure learned a are lot and formulas createdtoday! to make our life You Byehave and done an thank amazing you!!!job! easier!