The perimeter of a rectangle is 40 m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.
16 m
Let breadth = x, length = 5x − 4.
Perimeter = 2(l + b) = 40 ⇒ l + b = 20.
(5x − 4) + x = 20 ⇒ 6x − 4 = 20 ⇒ 6x = 24 ⇒ x = 4.
Length = 16.