Question

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Answer 1

We have three expressions to calculate a perimeter of a rectangle od sides a an b:

1) By "walking" the sides: P=a+b+a+b

2) Group the sides: P=2a+2b

3) Group the two sides first: P=2(a+b)

These 3 expressions will give the same result:

Our rectangle is 90 feet long and 7.5 feet wide.

1)

$P=a+b+a+b=90+7.5+90+7.5=195$

2)

$P=2a+2b=2\cdot90+2\cdot7.5=180+15=195$

3)

$P=2(a+b)=2\cdot(90+7.5)=2\cdot97.5=195$

8) Applying the distributive property, we can write the expression as:

$\frac{1}{2}(a+b)=\frac{1}{2}a+\frac{1}{2}b$

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