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)

Result

x =  2

Solution:

a=8 cm S1=a2=82=64 cm2  b=5 cm c=15 cm  S2=2⋅ b⋅ c=2⋅ 5⋅ 15=150 cm2  S2>S1  x=2a = 8 \ cm \ \\ S_{ 1 } = a^2 = 8^2 = 64 \ cm^2 \ \\ \ \\ b = 5 \ cm \ \\ c = 15 \ cm \ \\ \ \\ S_{ 2 } = 2 \cdot \ b \cdot \ c = 2 \cdot \ 5 \cdot \ 15 = 150 \ cm^2 \ \\ \ \\ S_{ 2 }>S_{ 1 } \ \\ \ \\ x = 2

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