Rectangle 12081

In the shape of a rectangle drawn on a plan with a scale of 1: 8000, the ski slope has lengths of 12 cm and 0.5 cm. What is the actual piste area in ares?

Correct answer:

S =  384 a

Step-by-step explanation:

$$\begin{gathered} a=12\text{cm}\to \text{m}=12:100\text{m}=0.12\text{m} \\ b=0.5\text{cm}\to \text{m}=0.5:100\text{m}=0.005\text{m} \\ M=8000 \\ {a}_1=a\cdot M=0.12\cdot 8000=960\text{m} \\ {b}_1=b\cdot M=0.005\cdot 8000=40\text{m} \\ {S}_1=a_1\cdot b_1=960\cdot 40=38400{\text{m}}^2 \\ S=S_1\to \text{a}=S_1:100\text{a}=38400:100\text{a}=384\text{a}=384\text{a} \end{gathered}$$

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