## One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find the length of

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## Answers ( )

Answer:Step-by-step explanation:Let one of the side = x

So, other side = x – 2

Area = 360 sq.m

x*(x – 2) = 360

x*x – x * 2 = 360

x² – 2x -360 = 0

x² + 18x – 20x – 18*20 = 0

x(x +18) – 20*(x + 18 ) = 0

(x + 18)(x -20) = 0

{x + 18 is ignored as measurement will not be a negative number}

x – 20 = 0

x = 20

Length of the longer side = 20 m