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the class is building a new house for mina. the house will be 50 sq. ft…

Question

the class is building a new house for mina. the house will be 50 sq. ft. the blueprints the students draw: 10 mm represents 3 sq ft. of the house/shed. what is the size of the scale for the 50 sq ft. house/shed?

Explanation:

Step1: Set up proportion

Let $x$ be the length in mm on the blueprint for the 50 - sq ft house. We have the proportion $\frac{10}{3}=\frac{x}{50}$.

Step2: Cross - multiply

$3x = 10\times50$, so $3x=500$.

Step3: Solve for $x$

$x=\frac{500}{3}\approx166.67$ mm.

Answer:

Approximately 166.67 mm on the blueprint represents the 50 - sq ft house.