Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. She wants to increase the area to 168 ft by increasing
the width and length by the same amount, X.
Which equation can be used to find x?

Answer :

Answer:

Increasing both by the same amount of 2

Step-by-step explanation:

10 times 12=120,

and 11 times 13=143,

but 12 times 14 =168

An equation is formed of two equal expressions. The equation that can be used to find the value of x is x²+22x-168=0.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. Now, she needs to increase the area by 168 ft, that too by increasing the width and length by the same amount. Therefore, the equation can be written as,

[tex](10+x) \times (12+x) = (10 \times 12) + 168\\\\120 + 10x+ 12x +x ^2 = 120+168\\\\120 + 22x+x^2=120+168\\\\x^2+22x-168 = 0[/tex]

Hence, the equation that can be used to find the value of x is x²+22x-168=0.

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