The length and breadth of the rectangle would be 28 and 11 meters respectively.
The area of a rectangle is given by -
Area = length x breadth
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is a rectangle that has an area of 308 square meters. Its length is six meters more than twice the width.
Assume that the width is [w]. Than, the length would be -
l = 2w + 6
So -
l x w = 308
w(2w + 6) = 308
2w² + 6w - 308 = 0
w = -14 and w = 11
Possible value -
[w] = 11 meters
Length = 2 x 11 + 6 = 28 meters
[l] = 28 meters
Therefore, the length and breadth of the rectangle would be 28 and 11 meters respectively.
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