The length of rectangle is 30 inches and width is 8 inches.
Let the width of rectangle be x. So, the length of rectangle will be: 3x + 6. As per the known fact, the area of rectangle is product of length and width.
Keep the values in formula to calculate the value of x
x × (3x + 6) = 240
3x² + 6x - 240 = 0
Dividing the equation by 3
x² + 2x - 80 = 0
Factoring the middle variable
x² + 10x - 8x - 80 = 0
x (x + 10) -8 (x + 10) = 0
x = 8, -10
The width of rectangle can not be negative. So, the width is 8 inch.
Length = 3×8 + 6
Length = 24 + 6
Length = 30 inches
Hence, length and width is 30 and 8 inches.
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