Answer:
Equation of the width: [tex]2(2w + 5) + 2w = 58[/tex]
The width of the rectangle is 8 inches.
Step-by-step explanation:
A rectangle has two dimensions, the length(l) and the width(w).
The perimeter of the rectangle is:
[tex]P = 2l + 2w[/tex]
A rectangle has a perimeter of 58 inches.
This means that:
[tex]2l + 2w = 58[/tex]
The length is five more than twice the width.
This means that [tex]l = 2w + 5[/tex]
Equation to find the width:
[tex]2(2w + 5) + 2w = 58[/tex]
[tex]4w + 10 + 2w = 58[/tex]
[tex]6w = 48[/tex]
[tex]w = \frac{48}{6}[/tex]
[tex]w = 8[/tex]
The width of the rectangle is 8 inches.
