Question

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

Answer 1

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

Answer 2

Answer:

$|PQ|=23$

Step-by-step 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

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

$|PQ|=23$