Step-by-step explanation:
Given,
The length of a rectangle(l) = 2(x + 1) meters and
The perimeter of a rectangle = 60 meters
To find, the width of a rectangle(b) = ?
We know that,
The perimeter of a rectangle = 2(l + b)
⇒ 2(2(x + 1) + b) = 60
⇒ 2(x + 1) + b =[tex]\dfrac{60}{2} =30[/tex]
⇒ b = 30 - 2(x + 1)
⇒ b = 30 - 2x - 2
⇒ b = 28 - 2x
⇒ b = 2(14 - x)
∴ The width of a rectangle(b) = 2(14 - x)
Hence, the width of a rectangle(b) = 2(14 - x)
