The perimeter of a rectangle is 50 cm. Its area and length are in the ratio of 5 : 1. Find the length of the rectangle

20 cm

We know that,

Perimeter of the rectangle = 2(Length + Breadth)

Area of the rectangle = Length × Breadth 

The perimeter of the rectangle = 50 cm 

The ratio of area of the rectangle to the length = 5 : 1 

Let the length of the rectangle be L

Let the breadth of the rectangle be B

= 2(L + B) = 50 

= L + B = 25 

According to the question 

= (L × B) : L = 5 : 1

= L × (25 - L) = 5L

= 25L - L² = 5L 

= L = 20