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Question

the length of a rectangle exceeds its width by 8cm and the area of the rectangle is 240 cm 2 represent the above situation in the form of a quadratic equation

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Solution

Let the breadth of the rectangle = x cm

length of the rectangle = (x + 8) cm

Area of rectangle = length × breadth = x (x + 8) = x2 + 8x

but area of rectangle = 240 cm2

according to the given condition,

x2 + 8x = 240

x2 + 8x - 240 = 0


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