Answer:
length of a rectangle = l = 62 inches
Step-by-step explanation:
Given Data:
Perimeter = P = 146 inches
Let,
length of a rectangle = l
width of a rectangle = w
According to given condition
l = w+51
To Find Out:
length of a rectangle = l = ?
Formula:
P = 2(l+w)
P = 2(w+51+w) ∴ l = w+51
w = [tex]\frac{(\frac{P}{2} ) -51}{2}[/tex]
l = w+51
Solution:
w = [tex]\frac{(\frac{P}{2} ) -51}{2}[/tex]
w = [tex]\frac{(\frac{146}{2} ) -51}{2}[/tex]
w = [tex]\frac{(73) -51}{2}[/tex]
w = [tex]\frac{22}{2}[/tex]
w = 11 inches
l = 11+51
l = 62 inches
