Respuesta :

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

kudzordzifrancis

Answer:

[tex]|PQ|=23[/tex]

Step-by-step explanation:

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

[tex]P=2l+2w[/tex]

Given: [tex]P=94,w=5x-1,l=4x+3[/tex]

We substitute these values to obtain;

[tex]2(5x-1)+2(4x+3)=94[/tex]

Expand the parentheses to get;

[tex]10x-2+8x+6=94[/tex]

Group similar terms;

[tex]10x+8x=94-6+2[/tex]

Simplify;

[tex]18x=90[/tex]

Divide both sides by 18.

[tex]x=5[/tex]

Side

[tex]|PQ|=4x+3[/tex]

We substitute [tex]x=5[/tex] to get

[tex]|PQ|=4(5)+3[/tex]

[tex]|PQ|=23[/tex]

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