Question

The rectangle below has an area of x^2-4x-12 square metres and a length of X+2 meter what expression represent the width of the rectangle

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$Given \: Length \:of \:a \: rectangle (l) = (x+2)\:m$

$Let \: Breadth = b \: m$

$Area \:of \:the \: rectangle = (x^{2}-4x-12)\:m^{2}$

$\implies l \times b = x^{2} -6x+2x -12$

$\implies (x+2) \times b = x(x-6)+2(x-6)$

$\implies (x+2) \times b = (x-6)(x+2)$

$\implies b = \frac{(x-6)(x+2) }{(x+2)}$

$\implies b = (x-6) \:m$

Therefore.,

$\red{ Breadth \: of \:the \: rectangle } \green {= (x-6) \:m}$

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