Question

A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m. The length of land measures 20 cm on the blueprint. If L represents the length of the actual piece of land, what is L?

Answer 1

Answer:

52 meters.

Step-by-step explanation:

Let L represent the length of the actual piece of land.

We have been given that a blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m. The length of land measures 20 cm on the blueprint.

We will use proportion to solve our given problem.

$\frac{\text{Blueprint}}{\text{Actual length}}=\frac{1\frac{1}{4}}{3\frac{1}{4}}$

Convert mixed fraction into improper fraction:  

$1\frac{1}{4}\Rightarrow\frac{1\times4+1}{4}=\frac{4+1}{4}=\frac{5}{4}$

$3\frac{1}{4}\Rightarrow\frac{3\times4+1}{4}=\frac{12+1}{4}=\frac{13}{4}$

$\frac{20}{L}=\frac{\frac{5}{4}}{\frac{13}{4}}$

$\frac{20}{L}=\frac{5\times 4}{4\times13}$

$\frac{20}{L}=\frac{5}{13}$

$\frac{20}{L}=\frac{5}{13}$

Cross multiply:

$5*L=20*13$

$\frac{5*L}{5}=\frac{20*13}{5}$

$L=4*13$

$L=52$

Therefore, the length of the actual piece of land is 52 meters.

Answer 2

Answer: 52!!! It's correct.