# Rectangle 3-4-5

The sides of the rectangle are in a ratio of 3:4. The length of the rectangle diagonal is 20 cm. Calculate the content of the rectangle.

Result

S =  192 cm2

#### Solution:

$u = 20 \ \\ 3^2+4^2 = 5^2 \ \\ a = 3/5 \cdot \ u = 3/5 \cdot \ 20 = 12 \ \\ b = 4/5 \cdot \ u = 4/5 \cdot \ 20 = 16 \ \\ S = a \cdot \ b = 12 \cdot \ 16 = 192 = 192 \ cm^2$

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