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2. A baseball diamond has four equal sides. The total

distance around the diamond is 360 feet. Use s for side.
Which equation shows the length of a side?

A. s/4 = 360

B. 4s= 360

C. s + 4 = 360

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User Dschulz
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1 Answer

6 votes

Answer:

Option B. 4s = 360

Explanation:

We're given that a baseball diamond has 4 equal sides, and that the total distance around the diamond is 360 feet.

If we're supposed to use "s" for a side length and make an equation, then the 4 sides added together would equal 360:

s + s + s + s = 360

Recall that repeated addition can be rewritten as multiplication. There are 4 "s"s, all connected by "+", so the left side of the equation could be rewritten as "4 times s", or 4*s. Often when a number is multiplied to a letter, we don't explicitly write the multiplication sign, so it could be simplified a little further to just 4s.

So, our equation could be simplified to 4s = 360.

This is option B.

Verifying the answer

To verify the answer, we could solve the equation:

4s = 360

To solve for "s", we need to undo everything that has been done to it to get it by itself. In this case, there is a 4 multiplied to it. The opposite of multiplication is division, so to undo multiplying by 4, we would divide by 4. To keep the equation balanced, we'll need to divide by 4 on both sides of the equation:


(4s)/(4)=(360)/(4)

On the left side, the multiply by 4 and divide by 4 undo each other, leaving just s. Evaluating the right side, gives 90.

s=90

So, if s=90, each side of the baseball diamond is 90 feet. With 4 equal sides, going back to our original equation: 90 + 90 + 90 + 90 = 360, so the distance around the diamond equals 360 as given.

Therefore our equation (option B) was correct.

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User ExoticChimp
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