>the length of a rectangle is 4 meters more than the width. the area of the rectangle is 45 meters squared. find the length and width.
You say "the area of the rectangle is 45 meters squared." This means the area is 45 m times 45 m = 2025 square meters. Or maybe you meant 45 square meters which can be represented as
I hope you come to recognize the difference in the two expressions.
\(\displaystyle 45m^2\) means 45 square meters.
\(\displaystyle (45m)^2\) means 45 meters squared.
Obviously, the width cannot be a negative number, right? So, 5m must be the width. Therefore the length (W + 4) is 9m. Plug these values back into the area formula to make sure they work:
A = 5m * 9m = 45m^2
( m*m = m^2 )
It does work! Hope this helps somewhat. When looking at the quadratic formula remember that I switched x with W to fit our problem. Also A and B are just the coefficients of X^2, X, and the constant is C.