Question

This is the last one Iris!

Answer 1

The total is 158 units

(3z+2)+(4z)+(3z+2)+(4z)=158

Combine like terms
14z+4=158
Subtract 4 from both sides
158-4=154
14z=154
Divide by 14 on both sides
154/14=11
z=11

Answer 2

`z=11`

Explanation:

The perimeter of a rectangle is found using the formula;

`p=2w+2l`

The width of the rectangle is
`w=3z+2`.

The length of the rectangle is
`l=4z`

The perimeter of the rectangle is
`p=158`

We substitute the given values to obtain;

`158=2(3z+2)+2(4z)`

Expand to obtain;

`158=6z+4+8z`

Group similar terms to get;

`158-4=6z+8z`

Simplify;

`154=14z`

`z=11`