Question

Find the width (w) of the rectangle if the area of the rectangle is x2 + 18x + 45.

Answer 1

I'm not sure if you're already given the length of the rectangle, but the width is either (x + 3) or (x + 15).

We can find this by factoring x² + 18x + 45, as the area of a rectangle is found by multiplying the length and width together, so if we factor this expression we can find what was multiplied together.

Factoring x² + 18x + 45, we get (x + 3)(x + 15), which then tells us the two sides of the rectangle. Again, I'm not sure if you were already told the length, but if you were then the width is the other side. For example, if you were told the length was (x + 3), then the width would be (x + 15).

I hope this helps!