Question

Due to renovations at her workplace, Lucía must move from her current office into a temporary office. Her current office is a square room of dimension xx feet. Her temporary office will be a rectangular room with a length 33 feet greater than her current office's length and a width 55 feet less than her current office's width. Which of the following expressions gives the difference between the area, in square feet, of Lucía's current office and the area, in square feet, of Lucía's temporary office?
A
2x+152x+15

B
2x-152x−15

C
-2x+15−2x+15

D
-8x-15−8x−15

E
8x+158x+15

Answer 1

Step-by-step explanation:

$current \: office \: area = x \times x = x {}^{2}. \\ temporary \: office \: dimensions \\ = x + 3 \: and \: x - 5. \\ current \: office \: area \\ = (x + 3)(x - 5) = x {}^{2} - 2x + 15 \\ \\ x {}^{2} (x {}^{2} - 2x + 15) \\ = x {}^{2} - x {}^{2} - 2x + 15 \\ = 2x + 15. \\ ans(2x + 15).$

Answer 2

Answer:

• A. 2x + 15

Step-by-step explanation:

Current office area:

• x*x = x²

Temporary office dimensions:

• x + 3 and x - 5

Temporary office area:

• (x + 3)(x - 5) = x² - 2x - 15

The difference is:

• x² - (x²- 2x - 15) =
• x² - x² + 2x + 15 =
• 2x + 15

Correct choice is A