what are the length and width of the field?

Question

The length of a rectangular field is 7/5 its width. If the perimeter of the field is 240 meters, what are the length and width of the field?

Answer 1

Let The Width of a rectangular field (W) = x 

Then, The Length of a rectangular field (L) = (7/5)x

Perimeter of the field (P) = 240 meters

Perimeter of Rectangle (P) = 2( L + W) ------------> (1)

Substitute W = x, L = (7/5)x and P = 240 in Eq (1)

240  =  2 ( 7x/5 + x )

240  =  2 ( 7x + 5x) / 5

240 X 5  =  2 ( 12x )

1000  =  24x

x  =  1000/24

x  =  50

Hence, 

Width = x = 50m.

Length = (7/5)10 = 70m

Answer :

The Width of a rectangular field is 50m.

The Length of a rectangular field is 70m.