Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?
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Let's call the width of our rectangle and the length
. We can say
, since the length is equal to 4 cm greater than the width.
Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or . To solve this problem, we can substitute in the information we know, as shown below:
Now, we can substitute in the width we found into the formula for length, which is :
The width of our rectangle is cm and the length of our rectangle is
This picture should help, i graphed it for you! : )
