Question

The perimeter of a rectangular field“ is 430 meters and the ratio between the length and breadth is 5: 3
the area of the field is:

Answer 1

Length = 5x

Breadth = 3x

Given Perimeter = 430

5x + 3x + 5x + 3x = 430

16x = 430

x = 26.875

Length = 5x = 26.875 x 5 = 134.375 m

Breadth = 3x = 26.875 x 3 = 80.625 m

Area = 134.375 x 80.625 = 10833.98 m² (nearest hundredth)

Answer: 0833.98 m²

Answer 2

let the common multiple be x
so,
first side (l)=5x
second side (b)=3x
now,
perimeter of rectangular fields=2(l×b)
430=2(5x+3x)
430=2(8x)
430=16x
x=430/16
x=215/8
l=5×215/8
l=1075/8=134.375
b=3×215/8
b=645/8=8.625
area=l×b
=134.375×8.625
=1158.984375m^2
I am not sure