Find the perimeter of a rectangle if its area is 150 and the ratio of adjacent sides is 2: 3.

univerkov | July 24, 2021 | education

Let the sides of the triangle be equal to X and Y.

2 * X = 3 * Y. (1)

X * Y = 150 (2)

Let’s solve the system of equations.

X = 150 / Y.

300 / Y = 3 * Y.

Y ^ 2 = 100.

Y = 10 cm.

X = 15 cm.

P = 2 * (10 + 15) = 50 cm.

Answer: The perimeter is 50 cm.

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