What is the value of b? A. 100 B. 90 C. 80
2 answers:
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The area of a rectangle is given by the multiplication of its dimensions:
In this case, we have an exact value for the area, and two variable expressions for width and length. Let's replace the formula above with what we're given:
If you expand the right hand side, you have
And if you move all terms to the right hand side, this becomes
This is a quadratic equation, since it is in the form , where
If you plug these values in the generic formula
you get
Let's see which dimensions they yield:
But the dimensions of a rectangle can't be negative, so we can't accept this answer.
The other solution yields
So these are the dimensions of the rectangle