Question

EASY QUESTION. I will give medal for the best answer.

The garden’s length is three feet longer than the width. If the perimeter is 26 feet, choose the best equation for the situation.

(w + 3) (w) = 26
4w + 6 = 26
4w + 3 = 26

Answer 1

let width be 'w'

"length is three feet longer than the width"

length in terms of 'w' will be ?

Answer 2

This is the equation that I thought it should look like: l=(w+3) + w = 26 but that isn't an option.

Answer 3

let width be 'w'

"length is three feet longer than the width"

length = w+3

Answer 4

perimeter = 2(width + length)

Answer 5

26 = 2(w + (w+3))

Answer 6

got this ?

Answer 7

Yes, I get it.

Answer 8

simplify the right side

w+w+3 = ... ?

Answer 9

4w+3=26

Answer 10

no

Answer 11

2w =3 = 26

Answer 12

2(w+w+3) =26

2(2w+3) =26
2*2w +2*3 = 26

4w + 6 =26

Answer 13

OH! I see! you have to do it to both!

Answer 14

Thanks!

Answer 15

Can you help me with one more quick one?

Answer 16

Solve the following system of equations.
x + 4y = 3
3x + 12y = 5

Answer 17

factor out 3 from the left side of 2nd equation

Answer 18

\(3x+12y =3 (..?..)\)

Answer 19

12=-3x+5

Answer 20

sorry 12y=-3x+5

Answer 21

thats correct, but not required

Answer 22

So what do you do then?

Answer 23

\(3x+12y= 3(x+4y)\)

got this ?

Answer 24

oh yes

Answer 25

Which equals: 3x + 12y = 3x +12y

Answer 26

Bytheway the answer options to this question is:
x = 3, y = 4
x = 3, y = 12
infinite solutions
no solution

I think it is no solution-

Answer 27

thats correct.

Answer 28

see,
\(3x+12y = 3(x+4y)\)
but x+4y from 1st equation is 3
\(3x+12y = 3(x+4y) = 3\times 3 =9\)

but from 2nd equation,
2x+12y =5

so we get 5 =9
which is not possible for any values of x or y
hence no solution

Answer 29

Thanks!!! I understand it a lot better now.

Answer 30

welcome :D