We know that we have to mutiply (x + 6) by something to make (x^2 + 5x - 6) Because 6 * -1 is -6, it seems logical that Option B, (x-1) units, is the answer.
The expression of length pf rectangle is (x -1) units, the correct answer would be option(B).
Area of a rectangle is defined as product of its length and width.
Area = LW
Where L is length of rectangle and W is width of rectangle
The quadratic expression is defined as an expression containing the highest power of a variable is two.
Given as : area of rectangle in quadratic expression terms
Area of rectangle = (x² + 5x - 6) units
The width in algebraic terms:
W = (x + 6) units
So substitute those into the area equation
⇒ x² + 5x - 6 = L(x + 6) units²
⇒ x² + 6x - x - 6 = L(x + 6)
⇒ x(x + 6) - 1( x + 6) = L(x + 6)
⇒ (x + 6)( x - 1) = L(x + 6)
Divide by (x+6) both the sides,
⇒ L = (x - 1)
So, Length of rectangle = (x - 1) units
Hence, the expression of length pf rectangle is (x -1) units
Learn more about quadratic expression here:
brainly.com/question/14083225
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