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kow [346]
2 years ago
13

The area of a rug is represented by the following expression, z2 + 4x – 12 , which of the following expressions

Mathematics
1 answer:
ch4aika [34]2 years ago
3 0

Answer:

Width = (x-2)

Step-by-step explanation:

The area of a rug is given by (x^2+4x-12)

The length of the rug is (x+6)

We need to find the width of the rug.

The area of a rug is given by :

A=lb\\\\x^2+4x-12=(x+6)b\\\\b=\dfrac{x^2+4x-12}{(x+6)}\\\\b=\dfrac{x^2+6x-2x-12}{(x+6)}\\\\b=\dfrac{x(x+6)-2(x+6)}{(x+6)}\\\\b=\dfrac{(x+6)(x-2)}{(x+6)}\\\\b=(x-2)

So, the width of the rug is (x-2). Hence, the correct option is (c).

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