Question

how do i solve 2x+2y= for a rectangle

Answer 1

I see. Are you calculating the perimeter?

Answer 2

yes but i dont know how to work this

Answer 3

Okay.. this one is easy ^.^ I'd try to explain my best right there

Answer 4

So, x is the length of the rectangle and y is the width of the rectangle.
If you are given an equation to solve, you must be given two of these - perimeter, length, width

Answer 5

x an y and the prem is 34

Answer 6

I'd give you an example. The perimeter is 40 cm and the width is 8 cm. Find the length.
You'd have this equation.

\( \color{Black}{\Rightarrow 2(x + 8) = 40}\)

You'd now solve it

\( \color{Black}{\Rightarrow x + 8 = 20}\)

\( \color{Black}{\Rightarrow x = 12}\)

Answer 7

But we can't solve it straight away, or this may have many solutions.

Answer 8

???? lost

Answer 9

Umm, are you sure you are given just the perimeter?

Answer 10

What do you have to solve for exactly?

Answer 11

Do you want a solution of x or y or just for the sake of isolation?

Answer 12

dua... perm is 34 and x is 1 more than y

Answer 13

Oh lol, now we can solve it ;)

Answer 14

If you see it, x is 1 more than y. We can easily replace x with 1 + y because x is 1 more than y!

\( \color{Black}{\Rightarrow 2((y + 1) + y) = 34 }\)

\( \color{Black}{\Rightarrow 2(2y + 1 ) = 34}\)

\( \color{Black}{\Rightarrow 2y + 1 = 17 }\)

Can you continue from here?

Answer 15

x= 18? y= 17

Answer 16

Eek

Answer 17

\( \color{Black}{\Rightarrow 2y = 17 - 1}\)

\( \color{Black}{\Rightarrow 2y = 16}\)

\( \color{Black}{\Rightarrow y = 8 }\)

If you recall, x was 1 more than y.. so one more than 8 is 9.
x = 9
y = 8

Answer 18

If you try to solve it with the values, \(2(9 + 8) = 34\)

\( \color{Black}{\Rightarrow 2(17) = 34}\)

\( \color{Black}{\Rightarrow 34 = 34 }\)

\(\Huge \checkmark \mathfrak{\text{CORRECT!}} \)