Question

A square deck has a side length of x + 5. You are expanding the deck so that each side is 4 times as long as the side length of the original deck. What is the area of the new deck? Show your work and write your answer in standard form.

Answer 1

If you are expanding the side length x+5 by a multiple of 4, your new side would look like this: 4(x+5) or, simplifying, 4x+20.  The area of this new, bigger square would be found by squaring the 4x+20 to get 16x^2 + 160x + 400

Answer 2

Length of a side = 4(x+5). the area is 16(x+5)(x+5)