Question

the perimeter of a rectangular field is 54meter and its area is 180m^2 find the length and breadth of the rectangle

Answer 1

let the sides of rectangle are a & b
2(a+b ) = 54
a×b = 180
a+b = 27
now (a-b)^2 = (a+b)^2 -4ab
(a-b)^2 = 27^2 -4×180
(a-b)^2 = 729 - 720
(a-b)^2 = 9
a- b = 3
a + b = 27
2a = 30 , = a = 15
b = 12
Length = 15m
Breadth = 12m

Answer 2

perimeter = 2(l+b) =54
area = l*b=180
solve  2 equations