Question

the difference between the lenght and breadth of a rectangle is 23 m. If its perimeter is 206 m , then its area is ?

Answer 1

let length = x m 
and breadth = x - 23 m 
perimeter of rectangle = 2(l+b)
206 = 2 ( x + x - 23 )
206/2 = 2x -23 
103 + 23 = 2x
126 = 2x 
x = 126/2
x = 63 m
therefore , 
length = 63 m
breadth = 63 - 23
breadth = 40 m
area of rectangle = l * b 
                            = 63 * 40
                            = 2520 m