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Question
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length
Solution
Let the length of the rectangle be “l”
The breadth of the rectangle = x + 3
Area of the rectangle = length × breadth
x2 + 7x + 12 = l(x + 3)
l = `(x^2 + 7x + 12)/(x + 3)`
= `((x + 4)(x + 3))/(x + 3)`
= x + 4
Length of the rectangle = x + 4
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