Find the largest side of a rectangle whose area is 200 cm squared and the sides are 4: 1.

Let the length of the shorter side of this triangle be x. Then the length of the longer side is 4x.

S = x * 4x.

200 = 4x ^ 2. | : four

50 = x ^ 2.

x = 5√2 (cm). Is the length of the shorter side of the original rectangle.

x * 4 = 20√2 (cm). – the length of the longer side.

Answer: 20√2 cm.



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