The length of a rectangle is 3 inches greater than the width. Write the polynomials that represent the area of the rectangle a= lxw l=w+3 therefore area= (w+3)(W)
You are correct with
A = w(w+3)
To write the polynomial that represents the area of the rectangle, we need to multiply the length and the width. Given that the length of the rectangle is 3 inches greater than the width, we can express it as l = w + 3.
Now, let's substitute this expression for length (l) into the formula for area (a = lxw):
a = (w + 3)(w)
Expanding the expression using the distributive property, we get:
a = w(w) + 3(w)
This simplifies to:
a = w^2 + 3w
Therefore, the polynomial that represents the area of the rectangle is a = w^2 + 3w.