Two 2D shapes

Decide which shapes have more area:
  (a) a square of 8cm side; or
  (b) two rectangles with sides 5cm and 15cm?

Write result as 1 or 2 (rectangles)

Correct answer:

x =  2

Step-by-step explanation:

$$\begin{gathered} a=8\text{ cm } \\ {S}_1=a^2=8^2=64{\text{cm}}^2 \\ b=5\text{ cm } \\ c=15\text{ cm } \\ {S}_2=2\cdot b\cdot c=2\cdot 5\cdot 15=150{\text{cm}}^2 \\ {S}_2>S_1 \\ x=2 \end{gathered}$$

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