Find the perimeter of the polygon with the given verticesG(2,4), H(2,-3), J(-2,-3), K(-2,4)
1 answer:
I graphed these vertices myself in the attached photo, and it turned out to be a rectangle; With the thought that you perhaps made a typo and meant rectangle instead of polygon I continued on and found the perimeter of the rectangle.
The formula for finding the perimeter of a rectangle is P = 2(l+w).
I counted the units of the long side (K & J) to get the length, which is 7.
Next, I counted the units between J & H to find the width which is 4. Now we're ready to use the formula.
First I will add the length plus the width, 7 + 4 = 11.
Then I will multiply 2 x 11 to get a product of 22.
P = 22. :D
The formula for finding the perimeter of a rectangle is P = 2(l+w).
I counted the units of the long side (K & J) to get the length, which is 7.
Next, I counted the units between J & H to find the width which is 4. Now we're ready to use the formula.
First I will add the length plus the width, 7 + 4 = 11.
Then I will multiply 2 x 11 to get a product of 22.
P = 22. :D
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Answer:
Step-by-step explanation:
Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."
To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.
Mathematically, we'd capture that last example with the equation
. We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this:
.
This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: . When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as
, so we can say that
.
