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Published byRegina Lawson Modified over 9 years ago
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Area Area is the amount of surface space that a flat object has. Area is reported in the amount of square units.
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When you measure the amount of carpet to cover the floor of a room, you measure it in square units.
? Would the area of your bedroom or the area of your house be greater? ? You’re right! The area of your house is greater than the area of your bedroom.
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Lets find the area of this surface if each square is equal to one foot.
Count the number of squares. 1 2 Area = 15 square feet 3 4 5 6 7 8 9 10 11 12 13 14 15
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2 1 1 3 4 5 6 7 8 What is different about this shape?
How will we find the area of this? 2 Why did I mark both of these as 1? 1 1 3 4 5 6 7 8 The area is equal to 8 square units.
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Let’s find the area of this surface if each square is equal to one foot.
Area = 15 square feet
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Let’s find the area of this surface if each square is equal to one foot.
The area is equal to 9.
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1 2 3 4 5 6 7 8 9 The area is equal to 9 square units. Try this one!
How could we find the area if we weren’t count the squares? Try this one! 1 2 3 4 5 6 7 8 9
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How could we find the area if we weren’t count the squares?
What is the formula for area? A=l*w 3 ft 3 ft
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Time to Practice
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Area of triangles
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What’s the area of this rectangle?
10 cm 6 cm 60 cm2
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What’s the area of the red triangle?
10 cm 6 cm 30 cm2 What would be a formula for area of a triangle?
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Area of a triangle height length Area = ½ length x height
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What’s the area? 4 cm 8 cm 16 cm2 ½ of 8 x 4 =
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What’s the area? 8 cm 32 cm2 8 cm
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What’s the area? 8 cm 12 cm2 3 cm
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What’s the area? 2 cm 14 cm 14 cm2
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What’s the area? 15cm 20cm 150 cm2
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What’s the area? 20 cm 8 cm 80 cm2
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What if the triangle doesn’t have a right angle?
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Split it up! 4 cm 20 cm
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Split it up! 20 cm (½ of 10 x 4) + ( ½ of 10 x 4) = 20 + 20 = 40
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What’s the area? 10 cm 40 cm2 8 cm
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Formulas to know: A = l*w A = 1/2 *b*h
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TIME TO GET TRICKY!!
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What is the area of each shape?
8 ft 6 ft B A C Subtract 16-8 to get = 8 and split that in half to get the length of each right triangle 4 ft Find the area of each triangle by multiplying .5*4*6 = 24 ft. for each triangle To get the square multiply 8*6 to get 48ft 16 ft
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EVEN HARDER!
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Point E is half way between A & B.
What do you notice? Point E is half way between A & B. Here is some information: Side BD is 9 in. Side CD is 8 in. How can we find the area of all four shapes? A C E Split length in have to find length of each pink triangle which is 4 in. Find the area of the two right triangles. .5 *4*9 = 18 Find the area of the square 9*8 = 72 Subtract 72 from 18*2 to get Area is 36 in. Or Find the area of the square 9*8 = 72 in. And divide that by 2 to get 36in B D
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