Question

A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m the length of the land is 20 cm on the blueprint if i represents the length of the actual peace of land. What is i

Answer 1

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