In this video, you will learn how to view one or more parts of an expression as a single entity, by using associative
property to analyze the formula for a rectangle’s perimeter.
perimeter – measurement of the distance around the outside of a polygon or a circle
example: 4 x 5 = 2 x 10
rectangle – a parallelogram with four right angles, as well as two pairs of parallel, congruent sides
rectangle – a parallelogram with four right angles, as well as two pairs of parallel, congruent sides
rectangle – a parallelogram with four right angles, as well as two pairs of parallel, congruent sides
Rectangle Perimeter Formula, #1
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l
ww
Rectangle Perimeter Formula, #1
l
l
ww
p = l + l + w + w
The Associative Property
When three or more number are added, the sum is the same regardless of the grouping of the numbers
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
Rectangle Perimeter Formula, #2
l
l
ww
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
The Associative Property
When three or more number are added, the sum is the same regardless of the grouping of the numbers
Rectangle Perimeter Formula, #2
p = l + l + w + wp = (l + l) + (w + w)p = 2l + 2w
l
ww
l
Rectangle Perimeter Formula, #2
p = l + l + w + wp = (l + w) + (l + w)p = (l + l) + (w + w)p = 2l + 2w
l
ww
l
Rectangle Perimeter Formula, #2
p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w
l
ww
l
Rectangle Perimeter Formula, #2
p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w
l
ww
l
Rectangle Perimeter Formula, #2
p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w
l
ww
l
Rectangle Perimeter Formula, #2
p = l + l + w + wp = (l + w) + (l + w)p = 2(l + w)p = (l + l) + (w + w)p = 2l + 2w
l
ww
l
Synopsis
p = l + l + w + wp = 2l + 2wp = 2(l + w)
l
ww
l
In this video, you learned how to view one or more parts of an expression as
a single entity, by using the associative property to analyze the formula for a rectangle’s perimeter.