Question

The ratio of length and breadth of a rectangular plot is 5: 3. if the perimeter of the plot is 96 m, what is its area?

Answer 1

let length and breadth 5x , 3x respectively.
2(5x+3x) = 96
8x = 48
x = 48/8
x = 6
hence lenght = 30m
breadth = 18m
area = lenght * breadth
= 30*18
area =540m.sq

Answer 2

let the length be 5a and 3a respectively
perimeter of rectangle =2 (l× b)
2(5a× 3a)=96
8a=96/2
8a=48
a=48/8
a=6
length=5a=5×6=30
breadth=3a=3×6=18
area=l×b
=540 sq unit