Question

What is the missing side

Answer 1

Answer: length=2x+6

Explanation:

Perimeter P=10x+6 Width W=3x-3 Length L=?

P=2(L+W)

10x+6=2(L+3x-3)

10x+6=2(L)+3x(2)-3(2)

10x+6=2L+6x-6

10x+6+6=2L+6x-6+6

10x+12=2L+6x

10x+12-6x=2L+6x-6x

4x+12=2L

Divide both parts of the equation by 2:

2x+6=L

Thus, length=2x+6

Answer 2

Explanation:

Length of one side= 3x-3

Perimeter=10x+6

Let,

unknown side=y

Solution,

Perimeter= 2(first side + second side)

Putting values,

10x+6 = 2(3x-3 + y)

10x+6 = 6x -6+y

10x-6x =6-6 + y

4x = y

So, length of unknown side, y = 4x