Question

the distance around the rectangular field is 400 m.the length of the field is 26 meters more than the breadth.calculate the length and breadth of the field

Answer 1

perimeter of the rectangular field= 400mlet breadth of the field= xthen length of the field= x+26
perimeter of the rectangular field=2(length+breadth)
2(x+x+26)=4002x+26= 2002x= 174x = 87
breadth = 87mlength=87+26=113m

Answer 2

let breadth be x
then length=x+26
the perimeter=2(x+x+26)
=2(2x+26)

also perimeter=400
2(2x+26)=400
2x+26=200
2x=174
x=87
thus the length=87+26=113