math write an expression for area of reactangle

Question

Hello. There are 2 parts to this question:

Part 1: If the width of the rectangle in the previous problem is increased by 4w^(2), write an expression to represent the area of the new rectangle.

Part 2: If the width of the rectangle in the previous

problem is increased by 4w?, write an

expression to represent the area of the new

recigngle

Answer 1

Hi there Kim!

This question's a lot simpler than it sounds, though we're missing some information; I'm assuming the previous problem has height = h and width = w. If that's the case...

PART 1: Consider the equation for a rectangle's area, height times width. Then we can substitute our variables accordingly:

height: Still equals height. h

width: The previous width plus your addition: w + 4w^2

So the rectangle's area is now h * (w + 4w^2).

PART 2: Perform the same operations using the added amount, separating height and width accordingly. This should also be a good guideline for similar problems, even with different shapes.

Hope this helps!