Question

Here’s another one that I’m having trouble with

Answer 1

`|PQ|=23`

Explanation:

The perimeter of a rectangle can be found using the formula;

`P=2l+2w`

Given:
`P=94,w=5x-1,l=4x+3`

We substitute these values to obtain;

`2(5x-1)+2(4x+3)=94`

Expand the parentheses to get;

`10x-2+8x+6=94`

Group similar terms;

`10x+8x=94-6+2`

Simplify;

`18x=90`

Divide both sides by 18.

`x=5`

Side

`|PQ|=4x+3`

We substitute
`x=5` to get

`|PQ|=4(5)+3`

`|PQ|=23`

Answer 2

The total is 94 units.

A square has four equal sides so...

(5x-1)+(4x+3)+(5x-1)+(4x+3)=94

Combine like terms

19x+4=94

Subtract 4 from both sides

94-4=90

18x=90

Divide by 18 on both sides

90/18=5

X=5

Plug 5 in for x on the length of PQ

4(5)+3

20+3=23

Length of PQ=23 units