Question

if the length of a rectangular field is increased by 60% then by what percent should the breadth be decreased so that thete is no change in area​

Answer 1

Step-by-step explanation:

Say l is the length

b is the breadth and

A is the area

A = lb....equ(1)

New length = L = 1.6×l

New breadth = B, to be found out

New area = Old area = A

A = LB = 1.6×l×B....equ(2)

From equ (1), l = A/b

Substitute in equ(2)

i.e. A = 1.6×A×B/b

or B/b = 1/1.6

or (B/b)-1 = (1/1.6)-1

(B-b)/b = -0.6/1.6

(B-b)×100/b = -37.5

i.e. 37.5% reduction