Find the sides of a rectangle if its perimeter is 12 meters and its area is 9 meters.

univerkov | November 30, 2020 | education

Let a, b be the sides of the rectangle.
P = (a + b) * 2 = 12
S = a * b = 9
2a + 2b = 12
a + b = 6
Let us express a
a = 6-b
(6-b) * b = 9
6b-b ^ 2 = 9
b = 3
a = 6-3 = 3
The sides of the rectangle are 3

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