Question

the perimeter of the square is 208 in. Find the value of x

Answer 1

all 4 sides @Vocaloid and its 7x+3

Answer 2

hint:

4(side) = perimeter

Answer 3

4+3=7?

Answer 4

side = ?

Answer 5

not getting you here?

Answer 6

what is the length of one side? look at the diagram...

Answer 7

(7x+3)in

Answer 8

right, and perimeter = ?

Answer 9

208in

Answer 10

good, so plug side and perimeter into the equation

4*(side) = perimeter

Answer 11

28+12 then =

Answer 12

40

Answer 13

not quite... you're forgetting the x

Answer 14

4(7x+3) = ?

Answer 15

40X

Answer 16

nope, still not quite right...

Answer 17

4(7x+3) = 4*(7x) + 4*(3) = ?

Answer 18

12

Answer 19

again, you're forgetting the x...

4*(7x) = __?

Answer 20

18x

Answer 21

28

Answer 22

x

Answer 23

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?

Answer 24

yes

Answer 25

4*7=28 4*3=12 28+12=40 but that isnt it what am i doing wrong

Answer 26

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?

Answer 27

yes

Answer 28

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?

Answer 29

28