Perimeter
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The distance around a shape or
length of the boundary (according
to diffen.com)
Linear unit measuring one
dimension
Operation: addition and/or
multiplication
Formula: sum of all sides or
P=2l+2w
All sides or edges are needed to
solve
Some key words include: fence,
on the edges, outline, around,
frame, outside, border,
surrounding
Much smaller calculation
compared to area
Flat object
Both
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Area & perimeter have formulas
Can use multiplication for both
Both can be solved by drawing
models & labeling length & width
Must be used on closed shapes
Can be calculated for flat objects
or plane figures
Both necessary concepts in the
field of architecture
Area
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The amount of space or size inside
a shape
The units are squared measuring 2
dimensions
Operation: multiplication
Formula: A=l x w OR you can
count up the inner units
Only one length & width are
needed to solve
Some key words include: paint,
made up of, cover, inside, units
squared
Greater calculation than
perimeter
Could be flat object or 3
dimensional
Perimeter vs. Area
There are many strategies a mathematician can use to calculate area and model. In my above example, I discovered
the perimeter and area of two different shapes. On the left side, the perimeter formula was used on a trapezoid. Since I know
that the formula is the sum of all sides, I added or combined all four edges. Therefore, 4in +4in +2 in +10 in = 20 inches; making
this the perimeter. In addition to that example, over to the right I determined the area of an irregular figure containing a total
of six sides. I noticed that if I broke apart the shape, I would have a rectangle and a square. So, I calculated the area of both
separately and later combined it. Using the area formula which is length multiplied by width, I computed the area of the shape
labeled A first and then B. Area A = 5 in x 10 in. Therefore, the first area is 50 square inches. Furthermore, the second
area B = 3 in x 3 in which equals 9 square inches. Lastly, 50 square inches added to 9 square inches yields 59 square inches.
I was able to create the two problems displayed above, solve them, and explain my reasoning because of all the
knowledge I have gained. There are tons of similarities and differences between the concepts of area and perimeter. For
example, both area and perimeter have specific formulas created by mathematicians for others to follow. Also, the
operation of multiplication can be used to solve both. Along with computations, drawing models and labeling the length and
width can also help one solve. Similarly, both figures must be closed shapes or polygons. Likewise, both concepts can be
used for calculating flat objects or plane figures. Equally, both mathematical ideas are used on a daily basis in the field of
architecture.
Although there are many similarities between area and perimeter, many differences do exist. For example, while
perimeter is the distance around a closed shape or length of the boundary, area is the amount of space or size inside a sealed
shape. Moreover, the solution or answer to perimeter is in the form of a linear unit measuring one dimension. On the other
hand, area units are squared measuring two dimensions. In contrast to perimeter which uses the operations of addition and/or
multiplication, area only uses multiplication. On the contrary to the perimeter formula which is the sum of all sides or
P=2l+2w, the area formula is A=lxw or you have the option of counting up the inner square units. Despite the fact that all
sides of the shape are needed to solve the perimeter, area only requires one length and width to solve. However, there are
different key words or phrases that represent either area or perimeter. For instance, some perimeter clues are: fence, on the
edges, outline, around, frame, outside, border, surrounding. The opposite, area key words or phrases include: paint, made up of, cover,
inside, units squared. As well as those facts, the calculation for perimeter is always much smaller than area.
on flat objects, but three dimensional items as well.
My work can be checked used various methods.
Lastly, area can be used not only