Respuesta :
1) 2l+2w
2)36-2l=2w
3)2w+2w+3+2w+3=36
=6w+6=36
=6w=30
=w=5
the width is 2×5+3=13
2)36-2l=2w
3)2w+2w+3+2w+3=36
=6w+6=36
=6w=30
=w=5
the width is 2×5+3=13
Answer:
The simplified expression for the perimeter of the rectangle is 6w+6.
An equation that can be used to find w is 6w+6 = 36.
The width of the rectangle is 5 units
Step-by-step explanation:
By the given information,
The length of the rectangle = 2w + 3,
Where, Width = w,
We know that,
Perimeter of a rectangle = 2 × ( length + width )
[tex]=2(2w + 3 + w)[/tex]
[tex]=2(3w+3)[/tex]
[tex]=6w+6[/tex]
According to the question,
Perimeter = 36 units,
[tex]\implies 6w + 6 = 36[/tex]
Subtracting 6 on both sides,
[tex]6w = 30[/tex]
Divide both sides by 6,
[tex]w=5[/tex]
Thus the width of the rectangle is 5 units.