Plate dimension

The dimensions of the rectangular plate on the plan were 8 and 6 cm. The actual plexiglass plate was 7:2 to the plan. What were the exact dimensions of the plate?

Final Answer:

x =  28 cm
y =  21 cm

Step-by-step explanation:

$$\begin{gathered} a=8\text{cm} \\ b=6\text{cm} \\ x:a=7:2 \\ x=\frac{7}{2}\cdot a=\frac{7}{2}\cdot 8=\frac{7\cdot 8}{2}=\frac{56}{2}=28\text{cm} \end{gathered}$$

$$\begin{gathered} y:b=7:2 \\ y=\frac{7}{2}\cdot b=\frac{7}{2}\cdot 6=\frac{7\cdot 6}{2}=\frac{42}{2}=21\text{cm} \end{gathered}$$

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