At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
all 4 sides @Vocaloid and its 7x+3
hint: 4(side) = perimeter
side = ?
not getting you here?
what is the length of one side? look at the diagram...
right, and perimeter = ?
good, so plug side and perimeter into the equation 4*(side) = perimeter
28+12 then =
not quite... you're forgetting the x
4(7x+3) = ?
nope, still not quite right...
4(7x+3) = 4*(7x) + 4*(3) = ?
again, you're forgetting the x... 4*(7x) = __?
Well, since we know the perimeter is 208 inches, and one side is (7x +3) we can make an equation 208 = 4(7x+3) 208 is perimeter 4 is for all 4 sides (7x+3) is the length of one side. We gotta solve for x using this equation 208 = 4(7x+3), do you know how to do this?
4*7=28 4*3=12 28+12=40 but that isnt it what am i doing wrong
Great, so our first step would be is to simplify 4(7x + 3), which is what @Vocaloid was trying to explain. Do you know what distributing is?
You are close, just forgetting the x. Distributing is when you take the number on the outside of the parenthesis (in this case our number is 4) and multiply it by all the numbers INSIDE the parenthesis (which is 7x and 3) So we have to multiply: 4 and 7x 4 and 3 We know that 4*3 is equal to 12, so we got that down. Now for 4*7x. We have to multiply the 4 and 7, but let's not forget about the x. After you multiplied 4 and 7, throw on the x on your answer. What is 4*7?
Right, now we add the x, so our answer for 4*7x is 28x! And we also know that: 4(7x + 3) = 28x + 12 Now let's continue on with our new equation, 208 = 28x + 12
Do you know what our next step is for solving 208 = 28x + 12?
40 thats what i put up there
Not quite. We have to use the order of operations and all that jazz
We have to subtract 12 on both sides of the equation, since we are originally adding it. We have to isolate the x on one side of the equation, and this is our first step of solving this
So, we have 208 - 12 = 28x + 12 - 12 208 - 12 = 28x Can you tell me what is 208 - 12?
Ah, right :) No problem. x = 7