Question

The ration of length: breadth of a field is 4:5. If the length of the field is doubled, then what will be the

ratio of the new field, if the area of the field remains the same​

Answer 1

L1 : B1 = 4 : 5 = k (say) ….. (1)

L2*B2 = L1*B1

or (2*L1)*B2 = L1*B1 [L2 = 2*L1 (given)]

or B2 = B1/2

Therefore,

L2 : B2 = (2*L1) : (B1/2)

or L2 : B2 = (2*4*k) : (5*k/2) [from (1)]

or L2 : B2 = 16 : 5 [Ans]