# 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:

$a = 8 \ cm \ \\ S_{ 1 } = a^2 = 8^2 = 64 \ cm^2 \ \\ \ \\ b = 5 \ cm \ \\ c = 15 \ cm \ \\ \ \\ S_{ 2 } = 2 \cdot \ b \cdot \ c = 2 \cdot \ 5 \cdot \ 15 = 150 \ cm^2 \ \\ \ \\ S_{ 2 }>S_{ 1 } \ \\ \ \\ x = 2$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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