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 About the author Ximena
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] Reply
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]