Answer:
52metre
Step-by-step explanation:
Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is
( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]
But we need to convert those mixed fractions to improper fraction for easy simplification
1 1/4= [(4×1)+4]= 5/2
3 1/4=[(4×3)+1)]=13/4
Then we can proceed with simplification as
(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]
But we were given length of the actual peace of land as 20 cm, then
(5/2)/(13/4)=[blueprint of the plot of land/20]
If we cross multiply we have
[blueprint of the plot of land] ×13/4 =5/2 ×20
[blueprint of the plot of land] =(5/2 ×20)÷(13/4)
= 50/(13/4)
=(4×13)/50
= 52
Therefore, the length of the actual peace of land is 52metre
