Question

The width of a rectangle is the sum of the length and 1. The area of the rectangle is 20 units. What is the length, in units, of the rectangle?

Answer 1

length is equal to 4

Answer 2

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Here is your answer
Let the length is x units

Width is x + 1 units

Area of rectangle = 20 units
Area of rectangle = Length × Breadth

ATQ
$x(x + 1) = 20 \\ x {}^{2} + x - 20 = 0 \\ x {}^{2} + 5x - 4x - 20 = 0 \\ x(x + 5) - 4(x + 5) = 0 \\ (x + 5)(x - 4) = 0 \\ x = - 5 \: \: and \: \: 4 \\ as \: x \: is \: not \: negative \: hence \\ x = 4$
Therefore Length of rectangle is 4 units

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