The length 10

The length of a rectangle is increased to 2 times its original size, and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?

Correct answer:

S₁ =  300 m²

Step-by-step explanation:

$$\begin{gathered} c_1=2 \\ {c}_2=3 \\ {S}_2=1800{\text{m}}^2 \\ {S}_1=ab \\ {S}_2=(c_1\cdot a)\cdot (c_2\cdot b)=(c_1\cdot c_2)\cdot (a\cdot b) \\ {S}_2=c_1\cdot c_2\cdot S_1 \\ {S}_1=\frac{S_2}{c_1\cdot c_2}=\frac{1800}{2\cdot 3}=300{\text{m}}^2 \end{gathered}$$

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