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How do you find the sides of a rectangle that has a perimeter of 16 cm and an area of 15.4375 square cm?
Wiki User
∙ 11y ago
Let the sides be x and y
Perimeter: 2(x+y) = 16 => y = 8-x
Area: xy = 15.4375 => x(8-x) = 15.4375 => 8x-x2-15.4375 = 0
Solving the above quadratic equation by means of the quadratiic equation formula gives x positive values of 4.75 and 3.25 which are the sides of the rectangle.
Check: perimeter = 2(4.75+3.25) = 16 cm and area = 4.75*3.25 = 15.4375 cm2
Wiki User
∙ 11y ago
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