What are the sides of the rectangle a and b if they are 5: 3, and the area of the rectangle is 960 m ^ 2?

univerkov | May 3, 2021 | education

Let the length of the side AB of the rectangle ABCD be 3 * X cm, then, according to the condition, the length of the side BC will be equal to 5 * X cm.

The area of a rectangle is equal to the product of the lengths of its sides, then: Savsd = AB * BC = 960 cm2.

3 * X * 5 * X = 960.

15 * X ^ 2 = 960.

X ^ 2 = 960/15 = 64.

X = 8.

Then the side AB = 3 * 8 = 24 cm.

BC side length = 5 * 8 = 40 cm

Answer: The sides of the rectangle are 24 cm and 40 cm.

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