Question

The length and the breadth of a rectangular field are in the ratio5:3 If its perimeter is 128m.find the dimensions of the field

Answer 1

Answer:

Length (l)= 40m ; Breadth (b)= 24m

Step-by-step explanation:

Given:

Perimeter=128m

Ratio of:

l : b :: 5 : 3

Therefore,

l= 5x ; b= 3x (taking the unknown value as 'x')

Now,

Perimeter= 2(l+b)

128m= 2(5x+3x)

128= 2(8x)

128= 16x

x= 128/16= 8m

Therefore,

l= 5x= 5*8= 40m

b= 3x= 3*8=24m

Answer 2

let the length and breath be 5x and 3x.

therefore,
2(5x+3x) = 128
2 x 8x = 128
16x = 128
x = 128÷16
x = 8

hence, length = 5x8=40m
breadth = 3x8=12m