.
Let x be the mean value between the length and the width.
Then the length is (x+2) meters, while the width is (x-2) meters
The area is L*W = (x+2)*(x-2) = .
The condition gives the equation
x^2 - 4 = 26,
which implies = 26+4 = 30 ====> x = .
Then the length = meters; width = meters.
Check. The area = = 30 - 4 = 26.
Answer. the length = meters; width = meters.
Solved.
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To see other similar problems, solved by the same method, look into the lesson
- HOW TO solve the problem on quadratic equation mentally and avoid boring calculations
in this site.
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Why this method is good ? - Because it allows you to get the solution MENTALLY, without long and boring calculations.