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The area of a couple's rectangular living room is 40 sq meters. The length of the room is 3 meters more than the width. What is the width in meters?

User Sumskyi
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the rectangular living room is calculated as length * width

The area is given to be equal to 40 sq. meters (area = 40 sq. meters)

Let the width = x meters

Length = X+3 meters

Area = Length * Width

40 = X * (X+3)

40 = X^2 + 3X


x^2 + 3x -40 =0

We solve this quadratic equation


x^2 + 8x - 5x -40 =0


x*(x+8) -5 *(x+8) =0


(x+8) (x-5) =0

So x = 5 or x= -8

Width cannot be negative, so we reject x =-8

So x = 5 is the answer

Width of the room = 5 meters

User Saghul
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