The area of the rectangle in terms of length (l) is [tex]l^{2}-7l[/tex], if the width of the rectangle is 7 feet less than its length.
Step-by-step explanation:
The given is,
Width of the rectangle is 7 feet less than its length
Length is l
Step:1
Formula for area of rectangle,
Area, [tex]a = lb[/tex]
Where,
l - Length of the rectangle
b - Width of the rectangle
Step:2
From the given values,
w = [tex]l[/tex] - 7 ( ∵ from given)
The equation becomes
= [tex]l[/tex] × ( [tex]l[/tex]-7 )
= [tex]l^{2}[/tex] - 7[tex]l[/tex]
Area, a = [tex]l^{2}[/tex] - 7[tex]l[/tex] square feet
Result:
The area of the rectangle in terms of length (l) is [tex]l^{2}-7l[/tex], if the width of the rectangle is 7 feet less than its length.
