Problem-solving by quadratic equations
Algebra
Level
1
Suppose you have a string of aluminum with length 58 cm,and wish to fold it into a rectangle. What should the length be if the area of the rectangle is 120 square cm?
The answer is 24.
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1 solution
b×h =120. 2(b+h) =58. h = 29-b. b^2-29b+120. Solving the equation we get two roots as 24 and 5. Therefore length = 24