Question

The length of a rectangle is 2 cm. less than twice its breadth. It its perimeter is 20 cm., what is the area of the rectangle ?

Answer 1

Solution:- Let the breadth of the rectangle be x cm.
Its length will be ( 2x - 2 ) cm.
According to the given condition,
2 ( l + b ) = 20
2 ( 2x - 2 + x ) = 20
2 ( 3x - 2 ) = 20
6x - 4 = 20
6x = 20 + 4
6x = 24
x = 4
Breadth of the rectangle = 4 cm
Its length will be 2 × 4 - 2 = 8 - 2
= 6cm.
Area of rectangle = 6 × 4
= 24 cm sq.